diff --git a/spanner/tests/_fixtures.py b/spanner/tests/_fixtures.py
index 1123d03c3f2d..ace9b981b6ec 100644
--- a/spanner/tests/_fixtures.py
+++ b/spanner/tests/_fixtures.py
@@ -38,6 +38,10 @@
     description STRING(16),
     exactly_hwhen TIMESTAMP)
     PRIMARY KEY (eye_d);
+CREATE TABLE counters (
+    name STRING(1024),
+    value INT64 )
+    PRIMARY KEY (name);
 """
 
 DDL_STATEMENTS = [stmt.strip() for stmt in DDL.split(';') if stmt.strip()]
diff --git a/spanner/tests/system/test_system.py b/spanner/tests/system/test_system.py
index b4ac62194bb1..e6d73f977e94 100644
--- a/spanner/tests/system/test_system.py
+++ b/spanner/tests/system/test_system.py
@@ -17,6 +17,7 @@
 import operator
 import os
 import struct
+import threading
 import unittest
 
 from google.cloud.proto.spanner.v1.type_pb2 import ARRAY
@@ -358,6 +359,11 @@ class TestSessionAPI(unittest.TestCase, _TestData):
         'description',
         'exactly_hwhen',
     )
+    COUNTERS_TABLE = 'counters'
+    COUNTERS_COLUMNS = (
+        'name',
+        'value',
+    )
     SOME_DATE = datetime.date(2011, 1, 17)
     SOME_TIME = datetime.datetime(1989, 1, 17, 17, 59, 12, 345612)
     NANO_TIME = TimestampWithNanoseconds(1995, 8, 31, nanosecond=987654321)
@@ -482,6 +488,31 @@ def test_transaction_read_and_insert_then_rollback(self):
         rows = list(session.read(self.TABLE, self.COLUMNS, self.ALL))
         self.assertEqual(rows, [])
 
+    def _transaction_read_then_raise(self, transaction):
+        rows = list(transaction.read(self.TABLE, self.COLUMNS, self.ALL))
+        self.assertEqual(len(rows), 0)
+        transaction.insert(self.TABLE, self.COLUMNS, self.ROW_DATA)
+        raise CustomException()
+
+    @RetryErrors(exception=GrpcRendezvous)
+    def test_transaction_read_and_insert_then_execption(self):
+        retry = RetryInstanceState(_has_all_ddl)
+        retry(self._db.reload)()
+
+        session = self._db.session()
+        session.create()
+        self.to_delete.append(session)
+
+        with session.batch() as batch:
+            batch.delete(self.TABLE, self.ALL)
+
+        with self.assertRaises(CustomException):
+            session.run_in_transaction(self._transaction_read_then_raise)
+
+        # Transaction was rolled back.
+        rows = list(session.read(self.TABLE, self.COLUMNS, self.ALL))
+        self.assertEqual(rows, [])
+
     @RetryErrors(exception=GrpcRendezvous)
     def test_transaction_read_and_insert_or_update_then_commit(self):
         retry = RetryInstanceState(_has_all_ddl)
@@ -508,6 +539,87 @@ def test_transaction_read_and_insert_or_update_then_commit(self):
         rows = list(session.read(self.TABLE, self.COLUMNS, self.ALL))
         self._check_row_data(rows)
 
+    def _transaction_concurrency_helper(self, unit_of_work, pkey):
+        INITIAL_VALUE = 123
+        NUM_THREADS = 3     # conforms to equivalent Java systest.
+
+        retry = RetryInstanceState(_has_all_ddl)
+        retry(self._db.reload)()
+
+        session = self._db.session()
+        session.create()
+        self.to_delete.append(session)
+
+        with session.batch() as batch:
+            batch.insert_or_update(
+                self.COUNTERS_TABLE,
+                self.COUNTERS_COLUMNS,
+                [[pkey, INITIAL_VALUE]])
+
+        # We don't want to run the threads' transactions in the current
+        # session, which would fail.
+        txn_sessions = []
+
+        for _ in range(NUM_THREADS):
+            txn_session = self._db.session()
+            txn_sessions.append(txn_session)
+            txn_session.create()
+            self.to_delete.append(txn_session)
+
+        threads = [
+            threading.Thread(
+                target=txn_session.run_in_transaction,
+                args=(unit_of_work, pkey))
+            for txn_session in txn_sessions]
+
+        for thread in threads:
+            thread.start()
+
+        for thread in threads:
+            thread.join()
+
+        keyset = KeySet(keys=[(pkey,)])
+        rows = list(session.read(
+            self.COUNTERS_TABLE, self.COUNTERS_COLUMNS, keyset))
+        self.assertEqual(len(rows), 1)
+        _, value = rows[0]
+        self.assertEqual(value, INITIAL_VALUE + len(threads))
+
+    def _read_w_concurrent_update(self, transaction, pkey):
+        keyset = KeySet(keys=[(pkey,)])
+        rows = list(transaction.read(
+            self.COUNTERS_TABLE, self.COUNTERS_COLUMNS, keyset))
+        self.assertEqual(len(rows), 1)
+        pkey, value = rows[0]
+        transaction.update(
+            self.COUNTERS_TABLE,
+            self.COUNTERS_COLUMNS,
+            [[pkey, value + 1]])
+
+    def test_transaction_read_w_concurrent_updates(self):
+        PKEY = 'read_w_concurrent_updates'
+        self._transaction_concurrency_helper(
+            self._read_w_concurrent_update, PKEY)
+
+    def _query_w_concurrent_update(self, transaction, pkey):
+        SQL = 'SELECT * FROM counters WHERE name = @name'
+        rows = list(transaction.execute_sql(
+            SQL,
+            params={'name': pkey},
+            param_types={'name': Type(code=STRING)},
+        ))
+        self.assertEqual(len(rows), 1)
+        pkey, value = rows[0]
+        transaction.update(
+                self.COUNTERS_TABLE,
+                self.COUNTERS_COLUMNS,
+                [[pkey, value + 1]])
+
+    def test_transaction_query_w_concurrent_updates(self):
+        PKEY = 'query_w_concurrent_updates'
+        self._transaction_concurrency_helper(
+            self._query_w_concurrent_update, PKEY)
+
     @staticmethod
     def _row_data(max_index):
         for index in range(max_index):
@@ -910,6 +1022,10 @@ def test_four_meg(self):
         self._verify_two_columns(FOUR_MEG)
 
 
+class CustomException(Exception):
+    """Placeholder for any user-defined exception."""
+
+
 class _DatabaseDropper(object):
     """Helper for cleaning up databases created on-the-fly."""