diff --git a/packages/eslint-plugin/src/rules/sort-type-constituents.ts b/packages/eslint-plugin/src/rules/sort-type-constituents.ts
index 1abeddcf823..848b2ce0722 100644
--- a/packages/eslint-plugin/src/rules/sort-type-constituents.ts
+++ b/packages/eslint-plugin/src/rules/sort-type-constituents.ts
@@ -2,7 +2,7 @@ import type { TSESLint, TSESTree } from '@typescript-eslint/utils';
 import { AST_NODE_TYPES } from '@typescript-eslint/utils';
 
 import * as util from '../util';
-import { getEnumNames } from '../util';
+import { getEnumNames, typeNodeRequiresParentheses } from '../util';
 
 enum Group {
   conditional = 'conditional',
@@ -96,13 +96,6 @@ function getGroup(node: TSESTree.TypeNode): Group {
   }
 }
 
-function requiresParentheses(node: TSESTree.TypeNode): boolean {
-  return (
-    node.type === AST_NODE_TYPES.TSFunctionType ||
-    node.type === AST_NODE_TYPES.TSConstructorType
-  );
-}
-
 export type Options = [
   {
     checkIntersections?: boolean;
@@ -226,7 +219,13 @@ export default util.createRule<Options, MessageIds>({
 
           const fix: TSESLint.ReportFixFunction = fixer => {
             const sorted = expectedOrder
-              .map(t => (requiresParentheses(t.node) ? `(${t.text})` : t.text))
+              .map(t =>
+                typeNodeRequiresParentheses(t.node, t.text) ||
+                (node.type === AST_NODE_TYPES.TSIntersectionType &&
+                  t.node.type === AST_NODE_TYPES.TSUnionType)
+                  ? `(${t.text})`
+                  : t.text,
+              )
               .join(
                 node.type === AST_NODE_TYPES.TSIntersectionType ? ' & ' : ' | ',
               );
diff --git a/packages/eslint-plugin/src/rules/sort-type-union-intersection-members.ts b/packages/eslint-plugin/src/rules/sort-type-union-intersection-members.ts
index 1fbf91b9ae8..cbfa7a51594 100644
--- a/packages/eslint-plugin/src/rules/sort-type-union-intersection-members.ts
+++ b/packages/eslint-plugin/src/rules/sort-type-union-intersection-members.ts
@@ -2,7 +2,7 @@ import type { TSESLint, TSESTree } from '@typescript-eslint/utils';
 import { AST_NODE_TYPES } from '@typescript-eslint/utils';
 
 import * as util from '../util';
-import { getEnumNames } from '../util';
+import { getEnumNames, typeNodeRequiresParentheses } from '../util';
 
 enum Group {
   conditional = 'conditional',
@@ -96,13 +96,6 @@ function getGroup(node: TSESTree.TypeNode): Group {
   }
 }
 
-function requiresParentheses(node: TSESTree.TypeNode): boolean {
-  return (
-    node.type === AST_NODE_TYPES.TSFunctionType ||
-    node.type === AST_NODE_TYPES.TSConstructorType
-  );
-}
-
 export type Options = [
   {
     checkIntersections?: boolean;
@@ -228,7 +221,13 @@ export default util.createRule<Options, MessageIds>({
 
           const fix: TSESLint.ReportFixFunction = fixer => {
             const sorted = expectedOrder
-              .map(t => (requiresParentheses(t.node) ? `(${t.text})` : t.text))
+              .map(t =>
+                typeNodeRequiresParentheses(t.node, t.text) ||
+                (node.type === AST_NODE_TYPES.TSIntersectionType &&
+                  t.node.type === AST_NODE_TYPES.TSUnionType)
+                  ? `(${t.text})`
+                  : t.text,
+              )
               .join(
                 node.type === AST_NODE_TYPES.TSIntersectionType ? ' & ' : ' | ',
               );
diff --git a/packages/eslint-plugin/src/util/misc.ts b/packages/eslint-plugin/src/util/misc.ts
index 351c94a6361..fa9c5ccf528 100644
--- a/packages/eslint-plugin/src/util/misc.ts
+++ b/packages/eslint-plugin/src/util/misc.ts
@@ -203,6 +203,18 @@ function findLastIndex<T>(
   return -1;
 }
 
+function typeNodeRequiresParentheses(
+  node: TSESTree.TypeNode,
+  text: string,
+): boolean {
+  return (
+    node.type === AST_NODE_TYPES.TSFunctionType ||
+    node.type === AST_NODE_TYPES.TSConstructorType ||
+    (node.type === AST_NODE_TYPES.TSUnionType && text.startsWith('|')) ||
+    (node.type === AST_NODE_TYPES.TSIntersectionType && text.startsWith('&'))
+  );
+}
+
 export {
   arrayGroupByToMap,
   arraysAreEqual,
@@ -216,6 +228,7 @@ export {
   isDefinitionFile,
   MemberNameType,
   RequireKeys,
+  typeNodeRequiresParentheses,
   upperCaseFirst,
   findLastIndex,
 };
diff --git a/packages/eslint-plugin/tests/rules/sort-type-constituents.test.ts b/packages/eslint-plugin/tests/rules/sort-type-constituents.test.ts
index 2587375060e..1aa6f8a6c9a 100644
--- a/packages/eslint-plugin/tests/rules/sort-type-constituents.test.ts
+++ b/packages/eslint-plugin/tests/rules/sort-type-constituents.test.ts
@@ -287,6 +287,32 @@ type T =
         },
       ],
     },
+    {
+      code: `type T = (| A) ${operator} B;`,
+      output: `type T = B ${operator} (| A);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type,
+            name: 'T',
+          },
+        },
+      ],
+    },
+    {
+      code: `type T = (& A) ${operator} B;`,
+      output: `type T = B ${operator} (& A);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type,
+            name: 'T',
+          },
+        },
+      ],
+    },
   ];
 };
 
@@ -334,5 +360,21 @@ type T = 1 | string | {} | A;
       ],
     },
   ],
-  invalid: [...invalid('|'), ...invalid('&')],
+  invalid: [
+    ...invalid('|'),
+    ...invalid('&'),
+    {
+      code: 'type T = (B | C) & A;',
+      output: `type T = A & (B | C);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type: 'Intersection',
+            name: 'T',
+          },
+        },
+      ],
+    },
+  ],
 });
diff --git a/packages/eslint-plugin/tests/rules/sort-type-union-intersection-members.test.ts b/packages/eslint-plugin/tests/rules/sort-type-union-intersection-members.test.ts
index a24959d8b6a..6242d140634 100644
--- a/packages/eslint-plugin/tests/rules/sort-type-union-intersection-members.test.ts
+++ b/packages/eslint-plugin/tests/rules/sort-type-union-intersection-members.test.ts
@@ -287,6 +287,32 @@ type T =
         },
       ],
     },
+    {
+      code: `type T = (| A) ${operator} B;`,
+      output: `type T = B ${operator} (| A);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type,
+            name: 'T',
+          },
+        },
+      ],
+    },
+    {
+      code: `type T = (& A) ${operator} B;`,
+      output: `type T = B ${operator} (& A);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type,
+            name: 'T',
+          },
+        },
+      ],
+    },
   ];
 };
 
@@ -334,5 +360,21 @@ type T = 1 | string | {} | A;
       ],
     },
   ],
-  invalid: [...invalid('|'), ...invalid('&')],
+  invalid: [
+    ...invalid('|'),
+    ...invalid('&'),
+    {
+      code: 'type T = (B | C) & A;',
+      output: `type T = A & (B | C);`,
+      errors: [
+        {
+          messageId: 'notSortedNamed',
+          data: {
+            type: 'Intersection',
+            name: 'T',
+          },
+        },
+      ],
+    },
+  ],
 });