diff --git a/.pending/breaking/gaia/4053-Add-inv-che b/.pending/breaking/gaia/4053-Add-inv-che
new file mode 100644
index 000000000000..515d05ade902
--- /dev/null
+++ b/.pending/breaking/gaia/4053-Add-inv-che
@@ -0,0 +1 @@
+#4053 Add --inv-check-period flag to gaiad to set period at which invariants checks will run.
diff --git a/client/config.go b/client/config.go
index c49a6f9de30c..4946a96ea8ab 100644
--- a/client/config.go
+++ b/client/config.go
@@ -9,7 +9,7 @@ import (
 
 	"github.com/tendermint/tendermint/libs/cli"
 
-	"github.com/pelletier/go-toml"
+	toml "github.com/pelletier/go-toml"
 	"github.com/spf13/cobra"
 	"github.com/spf13/viper"
 )
diff --git a/client/keys/add.go b/client/keys/add.go
index 49a275bf6ae1..390b1bc2a7c0 100644
--- a/client/keys/add.go
+++ b/client/keys/add.go
@@ -15,7 +15,7 @@ import (
 	"github.com/spf13/cobra"
 	"github.com/spf13/viper"
 
-	"github.com/cosmos/go-bip39"
+	bip39 "github.com/cosmos/go-bip39"
 
 	"github.com/tendermint/tendermint/crypto"
 	"github.com/tendermint/tendermint/crypto/multisig"
diff --git a/client/lcd/test_helpers.go b/client/lcd/test_helpers.go
index 127e8992a9ea..329b93ff6964 100644
--- a/client/lcd/test_helpers.go
+++ b/client/lcd/test_helpers.go
@@ -221,7 +221,7 @@ func InitializeTestLCD(t *testing.T, nValidators int, initAddrs []sdk.AccAddress
 	privVal.Reset()
 
 	db := dbm.NewMemDB()
-	app := gapp.NewGaiaApp(logger, db, nil, true, false)
+	app := gapp.NewGaiaApp(logger, db, nil, true, 0)
 	cdc = gapp.MakeCodec()
 
 	genesisFile := config.GenesisFile()
diff --git a/client/rpc/codec.go b/client/rpc/codec.go
index 1a64ee4aee58..841366fef16b 100644
--- a/client/rpc/codec.go
+++ b/client/rpc/codec.go
@@ -1,7 +1,7 @@
 package rpc
 
 import (
-	"github.com/tendermint/go-amino"
+	amino "github.com/tendermint/go-amino"
 	ctypes "github.com/tendermint/tendermint/rpc/core/types"
 )
 
diff --git a/cmd/gaia/app/app.go b/cmd/gaia/app/app.go
index a856094728a7..26d920d5ea8e 100644
--- a/cmd/gaia/app/app.go
+++ b/cmd/gaia/app/app.go
@@ -40,7 +40,7 @@ type GaiaApp struct {
 	*bam.BaseApp
 	cdc *codec.Codec
 
-	assertInvariantsBlockly bool
+	invCheckPeriod uint
 
 	// keys to access the substores
 	keyMain          *sdk.KVStoreKey
@@ -70,7 +70,8 @@ type GaiaApp struct {
 }
 
 // NewGaiaApp returns a reference to an initialized GaiaApp.
-func NewGaiaApp(logger log.Logger, db dbm.DB, traceStore io.Writer, loadLatest, assertInvariantsBlockly bool,
+func NewGaiaApp(logger log.Logger, db dbm.DB, traceStore io.Writer, loadLatest bool,
+	invCheckPeriod uint,
 	baseAppOptions ...func(*bam.BaseApp)) *GaiaApp {
 
 	cdc := MakeCodec()
@@ -81,6 +82,7 @@ func NewGaiaApp(logger log.Logger, db dbm.DB, traceStore io.Writer, loadLatest,
 	var app = &GaiaApp{
 		BaseApp:          bApp,
 		cdc:              cdc,
+		invCheckPeriod:   invCheckPeriod,
 		keyMain:          sdk.NewKVStoreKey(bam.MainStoreKey),
 		keyAccount:       sdk.NewKVStoreKey(auth.StoreKey),
 		keyStaking:       sdk.NewKVStoreKey(staking.StoreKey),
@@ -242,7 +244,7 @@ func (app *GaiaApp) EndBlocker(ctx sdk.Context, req abci.RequestEndBlock) abci.R
 	validatorUpdates, endBlockerTags := staking.EndBlocker(ctx, app.stakingKeeper)
 	tags = append(tags, endBlockerTags...)
 
-	if app.assertInvariantsBlockly {
+	if app.invCheckPeriod != 0 && ctx.BlockHeight()%int64(app.invCheckPeriod) == 0 {
 		app.assertRuntimeInvariants()
 	}
 
diff --git a/cmd/gaia/app/app_test.go b/cmd/gaia/app/app_test.go
index ec38f06a671b..95fa02119d68 100644
--- a/cmd/gaia/app/app_test.go
+++ b/cmd/gaia/app/app_test.go
@@ -55,11 +55,11 @@ func setGenesis(gapp *GaiaApp, accs ...*auth.BaseAccount) error {
 
 func TestGaiadExport(t *testing.T) {
 	db := db.NewMemDB()
-	gapp := NewGaiaApp(log.NewTMLogger(log.NewSyncWriter(os.Stdout)), db, nil, true, false)
+	gapp := NewGaiaApp(log.NewTMLogger(log.NewSyncWriter(os.Stdout)), db, nil, true, 0)
 	setGenesis(gapp)
 
 	// Making a new app object with the db, so that initchain hasn't been called
-	newGapp := NewGaiaApp(log.NewTMLogger(log.NewSyncWriter(os.Stdout)), db, nil, true, false)
+	newGapp := NewGaiaApp(log.NewTMLogger(log.NewSyncWriter(os.Stdout)), db, nil, true, 0)
 	_, _, err := newGapp.ExportAppStateAndValidators(false, []string{})
 	require.NoError(t, err, "ExportAppStateAndValidators should not have an error")
 }
diff --git a/cmd/gaia/app/invariants.go b/cmd/gaia/app/invariants.go
index 841732ca11e1..899d6bdbac22 100644
--- a/cmd/gaia/app/invariants.go
+++ b/cmd/gaia/app/invariants.go
@@ -26,5 +26,6 @@ func (app *GaiaApp) assertRuntimeInvariantsOnContext(ctx sdk.Context) {
 	}
 	end := time.Now()
 	diff := end.Sub(start)
-	app.BaseApp.Logger().With("module", "invariants").Info("Asserted all invariants", "duration", diff)
+	app.BaseApp.Logger().With("module", "invariants").Info(
+		"Asserted all invariants", "duration", diff, "height", app.LastBlockHeight())
 }
diff --git a/cmd/gaia/app/sim_test.go b/cmd/gaia/app/sim_test.go
index 7c6a2886de46..da4131fcb166 100644
--- a/cmd/gaia/app/sim_test.go
+++ b/cmd/gaia/app/sim_test.go
@@ -314,7 +314,7 @@ func BenchmarkFullGaiaSimulation(b *testing.B) {
 		db.Close()
 		os.RemoveAll(dir)
 	}()
-	app := NewGaiaApp(logger, db, nil, true, false)
+	app := NewGaiaApp(logger, db, nil, true, 0)
 
 	// Run randomized simulation
 	// TODO parameterize numbers, save for a later PR
@@ -349,7 +349,7 @@ func TestFullGaiaSimulation(t *testing.T) {
 		db.Close()
 		os.RemoveAll(dir)
 	}()
-	app := NewGaiaApp(logger, db, nil, true, false, fauxMerkleModeOpt)
+	app := NewGaiaApp(logger, db, nil, true, 0, fauxMerkleModeOpt)
 	require.Equal(t, "GaiaApp", app.Name())
 
 	// Run randomized simulation
@@ -383,7 +383,7 @@ func TestGaiaImportExport(t *testing.T) {
 		db.Close()
 		os.RemoveAll(dir)
 	}()
-	app := NewGaiaApp(logger, db, nil, true, false, fauxMerkleModeOpt)
+	app := NewGaiaApp(logger, db, nil, true, 0, fauxMerkleModeOpt)
 	require.Equal(t, "GaiaApp", app.Name())
 
 	// Run randomized simulation
@@ -410,7 +410,7 @@ func TestGaiaImportExport(t *testing.T) {
 		newDB.Close()
 		os.RemoveAll(newDir)
 	}()
-	newApp := NewGaiaApp(log.NewNopLogger(), newDB, nil, true, false, fauxMerkleModeOpt)
+	newApp := NewGaiaApp(log.NewNopLogger(), newDB, nil, true, 0, fauxMerkleModeOpt)
 	require.Equal(t, "GaiaApp", newApp.Name())
 	var genesisState GenesisState
 	err = app.cdc.UnmarshalJSON(appState, &genesisState)
@@ -473,7 +473,7 @@ func TestGaiaSimulationAfterImport(t *testing.T) {
 		db.Close()
 		os.RemoveAll(dir)
 	}()
-	app := NewGaiaApp(logger, db, nil, true, false, fauxMerkleModeOpt)
+	app := NewGaiaApp(logger, db, nil, true, 0, fauxMerkleModeOpt)
 	require.Equal(t, "GaiaApp", app.Name())
 
 	// Run randomized simulation
@@ -509,7 +509,7 @@ func TestGaiaSimulationAfterImport(t *testing.T) {
 		newDB.Close()
 		os.RemoveAll(newDir)
 	}()
-	newApp := NewGaiaApp(log.NewNopLogger(), newDB, nil, true, false, fauxMerkleModeOpt)
+	newApp := NewGaiaApp(log.NewNopLogger(), newDB, nil, true, 0, fauxMerkleModeOpt)
 	require.Equal(t, "GaiaApp", newApp.Name())
 	newApp.InitChain(abci.RequestInitChain{
 		AppStateBytes: appState,
@@ -537,7 +537,7 @@ func TestAppStateDeterminism(t *testing.T) {
 		for j := 0; j < numTimesToRunPerSeed; j++ {
 			logger := log.NewNopLogger()
 			db := dbm.NewMemDB()
-			app := NewGaiaApp(logger, db, nil, true, false)
+			app := NewGaiaApp(logger, db, nil, true, 0)
 
 			// Run randomized simulation
 			simulation.SimulateFromSeed(
diff --git a/cmd/gaia/cmd/gaiacli/main.go b/cmd/gaia/cmd/gaiacli/main.go
index b440db8f94c0..4fd6d1c3ad75 100644
--- a/cmd/gaia/cmd/gaiacli/main.go
+++ b/cmd/gaia/cmd/gaiacli/main.go
@@ -12,7 +12,7 @@ import (
 	"github.com/spf13/cobra"
 	"github.com/spf13/viper"
 
-	"github.com/tendermint/go-amino"
+	amino "github.com/tendermint/go-amino"
 	"github.com/tendermint/tendermint/libs/cli"
 
 	"github.com/cosmos/cosmos-sdk/client"
diff --git a/cmd/gaia/cmd/gaiad/main.go b/cmd/gaia/cmd/gaiad/main.go
index 4aa8e49179f5..58e6cf576170 100644
--- a/cmd/gaia/cmd/gaiad/main.go
+++ b/cmd/gaia/cmd/gaiad/main.go
@@ -23,9 +23,9 @@ import (
 )
 
 // gaiad custom flags
-const flagAssertInvariantsBlockly = "assert-invariants-blockly"
+const flagInvCheckPeriod = "inv-check-period"
 
-var assertInvariantsBlockly bool
+var invCheckPeriod uint
 
 func main() {
 	cdc := app.MakeCodec()
@@ -43,6 +43,7 @@ func main() {
 		Short:             "Gaia Daemon (server)",
 		PersistentPreRunE: server.PersistentPreRunEFn(ctx),
 	}
+
 	rootCmd.AddCommand(gaiaInit.InitCmd(ctx, cdc))
 	rootCmd.AddCommand(gaiaInit.CollectGenTxsCmd(ctx, cdc))
 	rootCmd.AddCommand(gaiaInit.TestnetFilesCmd(ctx, cdc))
@@ -55,8 +56,8 @@ func main() {
 
 	// prepare and add flags
 	executor := cli.PrepareBaseCmd(rootCmd, "GA", app.DefaultNodeHome)
-	rootCmd.Flags().BoolVar(&assertInvariantsBlockly, flagAssertInvariantsBlockly,
-		false, "Assert registered invariants on a blockly basis")
+	rootCmd.PersistentFlags().UintVar(&invCheckPeriod, flagInvCheckPeriod,
+		1, "Assert registered invariants every N blocks")
 	err := executor.Execute()
 	if err != nil {
 		// handle with #870
@@ -66,7 +67,7 @@ func main() {
 
 func newApp(logger log.Logger, db dbm.DB, traceStore io.Writer) abci.Application {
 	return app.NewGaiaApp(
-		logger, db, traceStore, true, assertInvariantsBlockly,
+		logger, db, traceStore, true, invCheckPeriod,
 		baseapp.SetPruning(store.NewPruningOptionsFromString(viper.GetString("pruning"))),
 		baseapp.SetMinGasPrices(viper.GetString(server.FlagMinGasPrices)),
 	)
@@ -77,13 +78,13 @@ func exportAppStateAndTMValidators(
 ) (json.RawMessage, []tmtypes.GenesisValidator, error) {
 
 	if height != -1 {
-		gApp := app.NewGaiaApp(logger, db, traceStore, false, false)
+		gApp := app.NewGaiaApp(logger, db, traceStore, false, uint(1))
 		err := gApp.LoadHeight(height)
 		if err != nil {
 			return nil, nil, err
 		}
 		return gApp.ExportAppStateAndValidators(forZeroHeight, jailWhiteList)
 	}
-	gApp := app.NewGaiaApp(logger, db, traceStore, true, false)
+	gApp := app.NewGaiaApp(logger, db, traceStore, true, uint(1))
 	return gApp.ExportAppStateAndValidators(forZeroHeight, jailWhiteList)
 }
diff --git a/cmd/gaia/cmd/gaiareplay/main.go b/cmd/gaia/cmd/gaiareplay/main.go
index fd2c518a44d1..d41a65c7ebbe 100644
--- a/cmd/gaia/cmd/gaiareplay/main.go
+++ b/cmd/gaia/cmd/gaiareplay/main.go
@@ -107,7 +107,7 @@ func run(rootDir string) {
 	// Application
 	fmt.Println("Creating application")
 	myapp := app.NewGaiaApp(
-		ctx.Logger, appDB, traceStoreWriter, true, true,
+		ctx.Logger, appDB, traceStoreWriter, true, uint(1),
 		baseapp.SetPruning(store.PruneEverything), // nothing
 	)
 
diff --git a/crypto/amino.go b/crypto/amino.go
index 327f8090d932..553a4723f9db 100644
--- a/crypto/amino.go
+++ b/crypto/amino.go
@@ -1,7 +1,7 @@
 package crypto
 
 import (
-	"github.com/tendermint/go-amino"
+	amino "github.com/tendermint/go-amino"
 	cryptoAmino "github.com/tendermint/tendermint/crypto/encoding/amino"
 )
 
diff --git a/crypto/keys/hd/fundraiser_test.go b/crypto/keys/hd/fundraiser_test.go
index 5e3cf06f3f46..6fa4ca725f0d 100644
--- a/crypto/keys/hd/fundraiser_test.go
+++ b/crypto/keys/hd/fundraiser_test.go
@@ -9,7 +9,7 @@ import (
 
 	"github.com/stretchr/testify/require"
 
-	"github.com/cosmos/go-bip39"
+	bip39 "github.com/cosmos/go-bip39"
 
 	"github.com/tendermint/tendermint/crypto"
 	"github.com/tendermint/tendermint/crypto/secp256k1"
diff --git a/crypto/keys/hd/hdpath_test.go b/crypto/keys/hd/hdpath_test.go
index 275b714ceaf3..509cdb6c2f39 100644
--- a/crypto/keys/hd/hdpath_test.go
+++ b/crypto/keys/hd/hdpath_test.go
@@ -5,7 +5,7 @@ import (
 	"fmt"
 	"testing"
 
-	"github.com/cosmos/go-bip39"
+	bip39 "github.com/cosmos/go-bip39"
 	"github.com/stretchr/testify/assert"
 	"github.com/stretchr/testify/require"
 )
diff --git a/x/auth/client/txbuilder/txbuilder.go b/x/auth/client/txbuilder/txbuilder.go
index a118dbbae257..fe9225eef01e 100644
--- a/x/auth/client/txbuilder/txbuilder.go
+++ b/x/auth/client/txbuilder/txbuilder.go
@@ -250,7 +250,7 @@ func (bldr TxBuilder) SignStdTx(name, passphrase string, stdTx auth.StdTx, appen
 	if bldr.chainID == "" {
 		return auth.StdTx{}, fmt.Errorf("chain ID required but not specified")
 	}
-	
+
 	stdSignature, err := MakeSignature(bldr.keybase, name, passphrase, StdSignMsg{
 		ChainID:       bldr.chainID,
 		AccountNumber: bldr.accountNumber,
diff --git a/x/mint/client/module_client.go b/x/mint/client/module_client.go
index 2a9b1b855cf8..54ccea835105 100644
--- a/x/mint/client/module_client.go
+++ b/x/mint/client/module_client.go
@@ -2,7 +2,7 @@ package client
 
 import (
 	"github.com/spf13/cobra"
-	"github.com/tendermint/go-amino"
+	amino "github.com/tendermint/go-amino"
 
 	sdkclient "github.com/cosmos/cosmos-sdk/client"
 	"github.com/cosmos/cosmos-sdk/x/mint"