diff --git a/common/unsafe/src/main/java/org/apache/spark/unsafe/types/CalendarInterval.java b/common/unsafe/src/main/java/org/apache/spark/unsafe/types/CalendarInterval.java
index 70841031911d9..d2abb36b0727c 100644
--- a/common/unsafe/src/main/java/org/apache/spark/unsafe/types/CalendarInterval.java
+++ b/common/unsafe/src/main/java/org/apache/spark/unsafe/types/CalendarInterval.java
@@ -29,7 +29,7 @@
 /**
  * The internal representation of interval type.
  */
-public final class CalendarInterval implements Serializable {
+public final class CalendarInterval implements Serializable, Comparable<CalendarInterval> {
   public final int months;
   public final int days;
   public final long microseconds;
@@ -55,6 +55,29 @@ public int hashCode() {
     return Objects.hash(months, days, microseconds);
   }
 
+  @Override
+  public int compareTo(CalendarInterval that) {
+    long thisAdjustDays =
+      this.microseconds / MICROS_PER_DAY + this.days + this.months * DAYS_PER_MONTH;
+    long thatAdjustDays =
+      that.microseconds / MICROS_PER_DAY + that.days + that.months * DAYS_PER_MONTH;
+    long daysDiff = thisAdjustDays - thatAdjustDays;
+    if (daysDiff == 0) {
+      long msDiff = (this.microseconds % MICROS_PER_DAY) - (that.microseconds % MICROS_PER_DAY);
+      if (msDiff == 0) {
+        return 0;
+      } else if (msDiff > 0) {
+        return 1;
+      } else {
+        return -1;
+      }
+    } else if (daysDiff > 0){
+      return 1;
+    } else {
+      return -1;
+    }
+  }
+
   @Override
   public String toString() {
     if (months == 0 && days == 0 && microseconds == 0) {
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/TypeCoercion.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/TypeCoercion.scala
index a0a13e70da033..b27d6ed0efed8 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/TypeCoercion.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/TypeCoercion.scala
@@ -855,6 +855,11 @@ object TypeCoercion {
       case Divide(l @ CalendarIntervalType(), r @ NumericType()) =>
         DivideInterval(l, r)
 
+      case b @ BinaryOperator(l @ CalendarIntervalType(), r @ NullType()) =>
+        b.withNewChildren(Seq(l, Cast(r, CalendarIntervalType)))
+      case b @ BinaryOperator(l @ NullType(), r @ CalendarIntervalType()) =>
+        b.withNewChildren(Seq(Cast(l, CalendarIntervalType), r))
+
       case Add(l @ DateType(), r @ IntegerType()) => DateAdd(l, r)
       case Add(l @ IntegerType(), r @ DateType()) => DateAdd(r, l)
       case Subtract(l @ DateType(), r @ IntegerType()) => DateSub(l, r)
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/codegen/CodeGenerator.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/codegen/CodeGenerator.scala
index 81321f42536f7..acd3858431e62 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/codegen/CodeGenerator.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/codegen/CodeGenerator.scala
@@ -629,6 +629,7 @@ class CodegenContext extends Logging {
     // use c1 - c2 may overflow
     case dt: DataType if isPrimitiveType(dt) => s"($c1 > $c2 ? 1 : $c1 < $c2 ? -1 : 0)"
     case BinaryType => s"org.apache.spark.sql.catalyst.util.TypeUtils.compareBinary($c1, $c2)"
+    case CalendarIntervalType => s"$c1.compareTo($c2)"
     case NullType => "0"
     case array: ArrayType =>
       val elementType = array.elementType
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/ordering.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/ordering.scala
index c8d667143f452..c9706c09f6949 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/ordering.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/ordering.scala
@@ -91,6 +91,7 @@ object RowOrdering {
   def isOrderable(dataType: DataType): Boolean = dataType match {
     case NullType => true
     case dt: AtomicType => true
+    case CalendarIntervalType => true
     case struct: StructType => struct.fields.forall(f => isOrderable(f.dataType))
     case array: ArrayType => isOrderable(array.elementType)
     case udt: UserDefinedType[_] => isOrderable(udt.sqlType)
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/TypeUtils.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/TypeUtils.scala
index 9680ea3cd2067..da084c9edb3c4 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/TypeUtils.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/TypeUtils.scala
@@ -71,6 +71,7 @@ object TypeUtils {
   def getInterpretedOrdering(t: DataType): Ordering[Any] = {
     t match {
       case i: AtomicType => i.ordering.asInstanceOf[Ordering[Any]]
+      case c: CalendarIntervalType => c.ordering.asInstanceOf[Ordering[Any]]
       case a: ArrayType => a.interpretedOrdering.asInstanceOf[Ordering[Any]]
       case s: StructType => s.interpretedOrdering.asInstanceOf[Ordering[Any]]
       case udt: UserDefinedType[_] => getInterpretedOrdering(udt.sqlType)
diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/types/CalendarIntervalType.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/types/CalendarIntervalType.scala
index ea94cf626698a..8a9a2e246a30b 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/types/CalendarIntervalType.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/types/CalendarIntervalType.scala
@@ -18,6 +18,7 @@
 package org.apache.spark.sql.types
 
 import org.apache.spark.annotation.Stable
+import org.apache.spark.unsafe.types.CalendarInterval
 
 /**
  * The data type representing calendar time intervals. The calendar time interval is stored
@@ -36,6 +37,8 @@ class CalendarIntervalType private() extends DataType {
 
   override def simpleString: String = "interval"
 
+  val ordering: Ordering[CalendarInterval] = Ordering[CalendarInterval]
+
   private[spark] override def asNullable: CalendarIntervalType = this
 }
 
diff --git a/sql/core/src/test/resources/sql-tests/inputs/interval.sql b/sql/core/src/test/resources/sql-tests/inputs/interval.sql
new file mode 100644
index 0000000000000..7babe05ef3e6c
--- /dev/null
+++ b/sql/core/src/test/resources/sql-tests/inputs/interval.sql
@@ -0,0 +1,43 @@
+-- test for intervals
+
+-- greater than or equal
+select interval '1 day' > interval '23 hour';
+select interval '-1 day' >= interval '-23 hour';
+select interval '-1 day' > null;
+select null > interval '-1 day';
+
+-- less than or equal
+select interval '1 minutes' < interval '1 hour';
+select interval '-1 day' <= interval '-23 hour';
+
+-- equal
+select interval '1 year' = interval '360 days';
+select interval '1 year 2 month' = interval '420 days';
+select interval '1 year' = interval '365 days';
+select interval '1 month' = interval '30 days';
+select interval '1 minutes' = interval '1 hour';
+select interval '1 minutes' = null;
+select null = interval '-1 day';
+
+-- null safe equal
+select interval '1 minutes' <=> null;
+select null <=> interval '1 minutes';
+
+-- complex interval representation
+select INTERVAL '9 years 1 months -1 weeks -4 days -10 hours -46 minutes' > interval '1 minutes';
+
+-- ordering
+select cast(v as interval) i from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v) order by i;
+
+-- unlimited days
+select interval '1 month 120 days' > interval '2 month';
+select interval '1 month 30 days' = interval '2 month';
+
+-- unlimited microseconds
+select interval '1 month 29 days 40 hours' > interval '2 month';
+
+-- max
+select max(cast(v as interval)) from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v);
+
+-- min
+select min(cast(v as interval)) from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v);
diff --git a/sql/core/src/test/resources/sql-tests/results/interval.sql.out b/sql/core/src/test/resources/sql-tests/results/interval.sql.out
new file mode 100644
index 0000000000000..58de1331c1b3f
--- /dev/null
+++ b/sql/core/src/test/resources/sql-tests/results/interval.sql.out
@@ -0,0 +1,180 @@
+-- Automatically generated by SQLQueryTestSuite
+-- Number of queries: 22
+
+
+-- !query 0
+select interval '1 day' > interval '23 hour'
+-- !query 0 schema
+struct<(1 days > 23 hours):boolean>
+-- !query 0 output
+true
+
+
+-- !query 1
+select interval '-1 day' >= interval '-23 hour'
+-- !query 1 schema
+struct<(-1 days >= -23 hours):boolean>
+-- !query 1 output
+false
+
+
+-- !query 2
+select interval '-1 day' > null
+-- !query 2 schema
+struct<(-1 days > CAST(NULL AS INTERVAL)):boolean>
+-- !query 2 output
+NULL
+
+
+-- !query 3
+select null > interval '-1 day'
+-- !query 3 schema
+struct<(CAST(NULL AS INTERVAL) > -1 days):boolean>
+-- !query 3 output
+NULL
+
+
+-- !query 4
+select interval '1 minutes' < interval '1 hour'
+-- !query 4 schema
+struct<(1 minutes < 1 hours):boolean>
+-- !query 4 output
+true
+
+
+-- !query 5
+select interval '-1 day' <= interval '-23 hour'
+-- !query 5 schema
+struct<(-1 days <= -23 hours):boolean>
+-- !query 5 output
+true
+
+
+-- !query 6
+select interval '1 year' = interval '360 days'
+-- !query 6 schema
+struct<(1 years = 360 days):boolean>
+-- !query 6 output
+true
+
+
+-- !query 7
+select interval '1 year 2 month' = interval '420 days'
+-- !query 7 schema
+struct<(1 years 2 months = 420 days):boolean>
+-- !query 7 output
+true
+
+
+-- !query 8
+select interval '1 year' = interval '365 days'
+-- !query 8 schema
+struct<(1 years = 365 days):boolean>
+-- !query 8 output
+false
+
+
+-- !query 9
+select interval '1 month' = interval '30 days'
+-- !query 9 schema
+struct<(1 months = 30 days):boolean>
+-- !query 9 output
+true
+
+
+-- !query 10
+select interval '1 minutes' = interval '1 hour'
+-- !query 10 schema
+struct<(1 minutes = 1 hours):boolean>
+-- !query 10 output
+false
+
+
+-- !query 11
+select interval '1 minutes' = null
+-- !query 11 schema
+struct<(1 minutes = CAST(NULL AS INTERVAL)):boolean>
+-- !query 11 output
+NULL
+
+
+-- !query 12
+select null = interval '-1 day'
+-- !query 12 schema
+struct<(CAST(NULL AS INTERVAL) = -1 days):boolean>
+-- !query 12 output
+NULL
+
+
+-- !query 13
+select interval '1 minutes' <=> null
+-- !query 13 schema
+struct<(1 minutes <=> CAST(NULL AS INTERVAL)):boolean>
+-- !query 13 output
+false
+
+
+-- !query 14
+select null <=> interval '1 minutes'
+-- !query 14 schema
+struct<(CAST(NULL AS INTERVAL) <=> 1 minutes):boolean>
+-- !query 14 output
+false
+
+
+-- !query 15
+select INTERVAL '9 years 1 months -1 weeks -4 days -10 hours -46 minutes' > interval '1 minutes'
+-- !query 15 schema
+struct<(9 years 1 months -11 days -10 hours -46 minutes > 1 minutes):boolean>
+-- !query 15 output
+true
+
+
+-- !query 16
+select cast(v as interval) i from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v) order by i
+-- !query 16 schema
+struct<i:interval>
+-- !query 16 output
+1 seconds
+3 seconds
+4 seconds
+
+
+-- !query 17
+select interval '1 month 120 days' > interval '2 month'
+-- !query 17 schema
+struct<(1 months 120 days > 2 months):boolean>
+-- !query 17 output
+true
+
+
+-- !query 18
+select interval '1 month 30 days' = interval '2 month'
+-- !query 18 schema
+struct<(1 months 30 days = 2 months):boolean>
+-- !query 18 output
+true
+
+
+-- !query 19
+select interval '1 month 29 days 40 hours' > interval '2 month'
+-- !query 19 schema
+struct<(1 months 29 days 40 hours > 2 months):boolean>
+-- !query 19 output
+true
+
+
+-- !query 20
+select max(cast(v as interval)) from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v)
+-- !query 20 schema
+struct<max(CAST(v AS INTERVAL)):interval>
+-- !query 20 output
+4 seconds
+
+
+-- !query 21
+select min(cast(v as interval)) from VALUES ('1 seconds'), ('4 seconds'), ('3 seconds') t(v)
+-- !query 21 schema
+struct<min(CAST(v AS INTERVAL)):interval>
+-- !query 21 output
+1 seconds