diff --git a/fuzz/fuzz_seeds/postgres_alter_extension.sql b/fuzz/fuzz_seeds/postgres_alter_extension.sql
index d3213eb565..20931ac0fd 100644
--- a/fuzz/fuzz_seeds/postgres_alter_extension.sql
+++ b/fuzz/fuzz_seeds/postgres_alter_extension.sql
@@ -33,3 +33,4 @@ ALTER EXTENSION citext DROP AGGREGATE agg(int ORDER BY text);
 ALTER EXTENSION citext ADD AGGREGATE cnt(*);
 ALTER EXTENSION citext ADD OPERATOR - (NONE, int);
 ALTER EXTENSION citext DROP OPERATOR CLASS oc USING btree;
+ALTER EXTENSION citext DROP OPERATOR FAMILY of USING btree;
diff --git a/src/ast/ddl.rs b/src/ast/ddl.rs
index 9697dcdd06..01d6c392c8 100644
--- a/src/ast/ddl.rs
+++ b/src/ast/ddl.rs
@@ -4970,6 +4970,13 @@ pub enum AlterExtensionMember {
         /// Index method.
         using: Ident,
     },
+    /// `OPERATOR FAMILY object_name USING index_method`
+    OperatorFamily {
+        /// Operator family name.
+        name: ObjectName,
+        /// Index method.
+        using: Ident,
+    },
     /// `PROCEDURE procedure_name [ ( [ [ argmode ] [ argname ] argtype [, ...] ] ) ]`
     Procedure(FunctionDesc),
     /// `PUBLICATION object_name`
@@ -5051,6 +5058,9 @@ impl fmt::Display for AlterExtensionMember {
             AlterExtensionMember::OperatorClass { name, using } => {
                 write!(f, "OPERATOR CLASS {name} USING {using}")
             }
+            AlterExtensionMember::OperatorFamily { name, using } => {
+                write!(f, "OPERATOR FAMILY {name} USING {using}")
+            }
             AlterExtensionMember::Procedure(function) => write!(f, "PROCEDURE {function}"),
             AlterExtensionMember::Publication(name) => write!(f, "PUBLICATION {name}"),
             AlterExtensionMember::Routine(function) => write!(f, "ROUTINE {function}"),
diff --git a/src/parser/mod.rs b/src/parser/mod.rs
index 95fff4d916..cd78d41dbc 100644
--- a/src/parser/mod.rs
+++ b/src/parser/mod.rs
@@ -12582,6 +12582,11 @@ impl<'a> Parser<'a> {
                 self.expect_keyword_is(Keyword::USING)?;
                 let using = self.parse_identifier()?;
                 Ok(AlterExtensionMember::OperatorClass { name, using })
+            } else if self.parse_keyword(Keyword::FAMILY) {
+                let name = self.parse_object_name(false)?;
+                self.expect_keyword_is(Keyword::USING)?;
+                let using = self.parse_identifier()?;
+                Ok(AlterExtensionMember::OperatorFamily { name, using })
             } else {
                 Ok(AlterExtensionMember::Operator(
                     self.parse_drop_operator_signature()?,
diff --git a/tests/sqlparser_postgres.rs b/tests/sqlparser_postgres.rs
index 9ad3b12b42..dc86429746 100644
--- a/tests/sqlparser_postgres.rs
+++ b/tests/sqlparser_postgres.rs
@@ -13561,6 +13561,7 @@ fn alter_extension_member_round_trip_forms(action: &str) {
         format!("ALTER EXTENSION ext_name {action} OPERATOR + (INT, TEXT)"),
         format!("ALTER EXTENSION ext_name {action} OPERATOR - (NONE, INT)"),
         format!("ALTER EXTENSION ext_name {action} OPERATOR CLASS oc USING btree"),
+        format!("ALTER EXTENSION ext_name {action} OPERATOR FAMILY of USING btree"),
         format!("ALTER EXTENSION ext_name {action} PROCEDURE p"),
         format!("ALTER EXTENSION ext_name {action} PROCEDURE p()"),
         format!("ALTER EXTENSION ext_name {action} PROCEDURE p(INT)"),
@@ -13822,6 +13823,18 @@ fn parse_alter_extension_add_member() {
             "ALTER EXTENSION ext_name ADD OPERATOR CLASS",
             "Expected: identifier, found: EOF",
         ),
+        (
+            "ALTER EXTENSION ext_name ADD OPERATOR FAMILY",
+            "Expected: identifier, found: EOF",
+        ),
+        (
+            "ALTER EXTENSION ext_name ADD OPERATOR FAMILY of",
+            "Expected: USING, found: EOF",
+        ),
+        (
+            "ALTER EXTENSION ext_name ADD OPERATOR FAMILY of USING",
+            "Expected: identifier, found: EOF",
+        ),
     ] {
         assert_eq!(
             pg_and_generic().parse_sql_statements(sql).unwrap_err(),