diff --git a/src/backend/catalog/heap.c b/src/backend/catalog/heap.c
index b534da7d80..b42711f574 100644
--- a/src/backend/catalog/heap.c
+++ b/src/backend/catalog/heap.c
@@ -2533,7 +2533,7 @@ AddRelationNewConstraints(Relation rel,
 			 * update its catalog status and we're done.
 			 */
 			if (AdjustNotNullInheritance1(RelationGetRelid(rel), colnum,
-										  cdef->inhcount))
+										  cdef->inhcount, cdef->is_no_inherit))
 				continue;
 
 			/*
@@ -2830,6 +2830,17 @@ AddRelationNotNullConstraints(Relation rel, List *constraints,
 
 			if (old->attnum == attnum)
 			{
+				/*
+				 * If we get a constraint from the parent, having a local NO
+				 * INHERIT one doesn't work.
+				 */
+				if (constr->is_no_inherit)
+					ereport(ERROR,
+							(errcode(ERRCODE_DATATYPE_MISMATCH),
+							 errmsg("cannot define not-null constraint on column \"%s\" with NO INHERIT",
+									strVal(linitial(constr->keys))),
+							 errdetail("The column has an inherited not-null constraint.")));
+
 				inhcount++;
 				old_notnulls = foreach_delete_current(old_notnulls, lc2);
 			}
diff --git a/src/backend/catalog/pg_constraint.c b/src/backend/catalog/pg_constraint.c
index 2a725f6280..e9d4d6006e 100644
--- a/src/backend/catalog/pg_constraint.c
+++ b/src/backend/catalog/pg_constraint.c
@@ -669,7 +669,8 @@ extractNotNullColumn(HeapTuple constrTup)
  * If no not-null constraint is found for the column, return false.
  */
 bool
-AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count)
+AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count,
+						  bool is_no_inherit)
 {
 	HeapTuple	tup;
 
@@ -681,6 +682,19 @@ AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count)
 
 		pg_constraint = table_open(ConstraintRelationId, RowExclusiveLock);
 		conform = (Form_pg_constraint) GETSTRUCT(tup);
+
+		/*
+		 * Don't let the NO INHERIT status change (but don't complain
+		 * unnecessarily.)  In the future it might be useful to let an
+		 * inheritable constraint replace a non-inheritable one, but we'd need
+		 * to recurse to children to get it added there.
+		 */
+		if (is_no_inherit != conform->connoinherit)
+			ereport(ERROR,
+					errcode(ERRCODE_OBJECT_NOT_IN_PREREQUISITE_STATE),
+					errmsg("cannot change NO INHERIT status of inherited NOT NULL constraint \"%s\" on relation \"%s\"",
+						   NameStr(conform->conname), get_rel_name(relid)));
+
 		if (count > 0)
 			conform->coninhcount += count;
 
@@ -691,9 +705,9 @@ AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count)
 				 get_rel_name(relid));
 
 		/*
-		 * If the constraints are no longer inherited, mark them local.  It's
-		 * arguable that we should drop them instead, but it's hard to see
-		 * that being better.  The user can drop it manually later.
+		 * If the constraint is no longer inherited, mark it local.  It's
+		 * arguable that we should drop it instead, but it's hard to see that
+		 * being better.  The user can drop it manually later.
 		 */
 		if (conform->coninhcount == 0)
 			conform->conislocal = true;
diff --git a/src/include/catalog/pg_constraint.h b/src/include/catalog/pg_constraint.h
index f6f5796fe0..f366f8cd14 100644
--- a/src/include/catalog/pg_constraint.h
+++ b/src/include/catalog/pg_constraint.h
@@ -248,7 +248,8 @@ extern char *ChooseConstraintName(const char *name1, const char *name2,
 extern HeapTuple findNotNullConstraintAttnum(Oid relid, AttrNumber attnum);
 extern HeapTuple findNotNullConstraint(Oid relid, const char *colname);
 extern AttrNumber extractNotNullColumn(HeapTuple constrTup);
-extern bool AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count);
+extern bool AdjustNotNullInheritance1(Oid relid, AttrNumber attnum, int count,
+									  bool is_no_inherit);
 extern void AdjustNotNullInheritance(Oid relid, Bitmapset *columns, int count);
 extern List *RelationGetNotNullConstraints(Oid relid, bool cooked);
 
diff --git a/src/test/regress/expected/inherit.out b/src/test/regress/expected/inherit.out
index 6daca12340..dae61b9a0b 100644
--- a/src/test/regress/expected/inherit.out
+++ b/src/test/regress/expected/inherit.out
@@ -2051,6 +2051,15 @@ Not-null constraints:
 Inherits: pp1,
           cc1
 
+-- cannot create table with inconsistent NO INHERIT constraint
+create table cc3 (a2 int not null no inherit) inherits (cc1);
+NOTICE:  moving and merging column "a2" with inherited definition
+DETAIL:  User-specified column moved to the position of the inherited column.
+ERROR:  cannot define not-null constraint on column "a2" with NO INHERIT
+DETAIL:  The column has an inherited not-null constraint.
+-- change NO INHERIT status of inherited constraint: no dice, it's inherited
+alter table cc2 add not null a2 no inherit;
+ERROR:  cannot change NO INHERIT status of inherited NOT NULL constraint "nn" on relation "cc2"
 -- remove constraint from cc2: no dice, it's inherited
 alter table cc2 alter column a2 drop not null;
 ERROR:  cannot drop inherited constraint "nn" of relation "cc2"
diff --git a/src/test/regress/sql/inherit.sql b/src/test/regress/sql/inherit.sql
index d8fae92a53..9ceaec1d78 100644
--- a/src/test/regress/sql/inherit.sql
+++ b/src/test/regress/sql/inherit.sql
@@ -736,6 +736,12 @@ alter table pp1 alter column f1 set not null;
 \d+ cc1
 \d+ cc2
 
+-- cannot create table with inconsistent NO INHERIT constraint
+create table cc3 (a2 int not null no inherit) inherits (cc1);
+
+-- change NO INHERIT status of inherited constraint: no dice, it's inherited
+alter table cc2 add not null a2 no inherit;
+
 -- remove constraint from cc2: no dice, it's inherited
 alter table cc2 alter column a2 drop not null;