diff --git a/packages/@aws-cdk/cloudformation-diff/lib/diff/util.ts b/packages/@aws-cdk/cloudformation-diff/lib/diff/util.ts
index 07c6c5c84..b8018af12 100644
--- a/packages/@aws-cdk/cloudformation-diff/lib/diff/util.ts
+++ b/packages/@aws-cdk/cloudformation-diff/lib/diff/util.ts
@@ -105,13 +105,16 @@ function dependsOnEqual(lvalue: any, rvalue: any): boolean {
     if (lvalue.length !== rvalue.length) {
       return false;
     }
-    for (let i = 0 ; i < lvalue.length ; i++) {
-      for (let j = 0 ; j < lvalue.length ; j++) {
-        if ((!deepEqual(lvalue[i], rvalue[j])) && (j === lvalue.length - 1)) {
-          return false;
-        }
-        break;
+    // Match each element of lvalue with a distinct element of rvalue. Elements are
+    // consumed as they are matched, so duplicates are compared by multiplicity.
+    // Neither input is mutated: only the local copy of indices is.
+    const unmatched = rvalue.map((_, i) => i);
+    for (const l of lvalue) {
+      const at = unmatched.findIndex((i) => deepEqual(l, rvalue[i]));
+      if (at === -1) {
+        return false;
       }
+      unmatched.splice(at, 1);
     }
     return true;
   }
diff --git a/packages/@aws-cdk/cloudformation-diff/test/template-and-changeset-diff-merger.test.ts b/packages/@aws-cdk/cloudformation-diff/test/template-and-changeset-diff-merger.test.ts
index bff3c2ba5..eeb177dbc 100644
--- a/packages/@aws-cdk/cloudformation-diff/test/template-and-changeset-diff-merger.test.ts
+++ b/packages/@aws-cdk/cloudformation-diff/test/template-and-changeset-diff-merger.test.ts
@@ -402,6 +402,65 @@ describe('fullDiff tests that include changeset', () => {
     expect(differences.resources.differenceCount).toBe(1);
   });
 
+  test.each([
+    [['SomeResource', 'AnotherResource'], ['ThirdResource', 'FourthResource']],
+    [['SomeResource', 'AnotherResource'], ['SomeResource', 'FourthResource']],
+    [['SomeResource', 'AnotherResource', 'ThirdResource'], ['AnotherResource', 'ThirdResource', 'FourthResource']],
+    [['SomeResource', 'SomeResource'], ['SomeResource', 'AnotherResource']],
+  ])('same-length DependsOn arrays with different elements are unequal: %j vs %j', (before, after) => {
+    // GIVEN
+    const currentTemplate = {
+      Resources: {
+        BucketResource: {
+          Type: 'AWS::S3::Bucket',
+          DependsOn: before,
+        },
+      },
+    };
+
+    // WHEN
+    const newTemplate = {
+      Resources: {
+        BucketResource: {
+          Type: 'AWS::S3::Bucket',
+          DependsOn: after,
+        },
+      },
+    };
+
+    // THEN
+    let differences = fullDiff(currentTemplate, newTemplate, {});
+    expect(differences.resources.differenceCount).toBe(1);
+
+    differences = fullDiff(newTemplate, currentTemplate, {});
+    expect(differences.resources.differenceCount).toBe(1);
+  });
+
+  test('DependsOn arrays with the same elements in a different order are equal, and inputs are not mutated', () => {
+    // GIVEN
+    const before = ['SomeResource', 'AnotherResource', 'SomeResource'];
+    const after = ['SomeResource', 'SomeResource', 'AnotherResource'];
+    const currentTemplate = {
+      Resources: {
+        BucketResource: { Type: 'AWS::S3::Bucket', DependsOn: before },
+      },
+    };
+    const newTemplate = {
+      Resources: {
+        BucketResource: { Type: 'AWS::S3::Bucket', DependsOn: after },
+      },
+    };
+
+    // WHEN
+    const differences = fullDiff(currentTemplate, newTemplate, {});
+
+    // THEN
+    expect(differences.resources.differenceCount).toBe(0);
+    // the comparison must not reorder the caller's arrays (see #1575)
+    expect(before).toEqual(['SomeResource', 'AnotherResource', 'SomeResource']);
+    expect(after).toEqual(['SomeResource', 'SomeResource', 'AnotherResource']);
+  });
+
   test('arrays that differ only in element order are considered unequal outside of DependsOn expressions', () => {
     // GIVEN
     const currentTemplate = {