diff --git a/src/circle/MapKitCircleOverlayRenderer.ts b/src/circle/MapKitCircleOverlayRenderer.ts
index a1d5950..25211b9 100644
--- a/src/circle/MapKitCircleOverlayRenderer.ts
+++ b/src/circle/MapKitCircleOverlayRenderer.ts
@@ -8,7 +8,7 @@ import {
   type CircleOverlayRenderer,
 } from '@mapconductor/js-sdk-core';
 import { MapKitViewHolder } from '../MapKitViewHolder';
-import { toCoordinates, toMapKitStyleColor } from '../helpers';
+import { toCoordinates, toMapKitStyleColor, addStackedOverlay } from '../helpers';
 import type { MapKitActualCircle } from '../MapKitTypeAlias';
 
 /**
@@ -41,7 +41,7 @@ export class MapKitCircleOverlayRenderer implements CircleOverlayRenderer<MapKit
       // MapKitViewController.handleCircleClick).
       enabled: false,
     });
-    this.map.addOverlay(overlay);
+    addStackedOverlay(this.map, overlay, 'circle', state.zIndex);
     return overlay;
   }
 
diff --git a/src/helpers.ts b/src/helpers.ts
index 83f3150..628722f 100644
--- a/src/helpers.ts
+++ b/src/helpers.ts
@@ -1,4 +1,11 @@
-import { createGeoPoint, type GeoPoint, type GeoPointInterface } from '@mapconductor/js-sdk-core';
+import {
+  compareOverlayStackKeys,
+  createGeoPoint,
+  type GeoPoint,
+  type GeoPointInterface,
+  type OverlayKind,
+  type OverlayStackKey,
+} from '@mapconductor/js-sdk-core';
 
 /** A CSS color split into an opaque color string and a separate opacity, the
  * shape MapKit JS's `Style` (fillColor + fillOpacity / strokeColor +
@@ -92,3 +99,33 @@ export function toUnwrappedCoordinates(points: readonly GeoPointInterface[]): ma
 export function toGeoPoint(coordinate: mapkit.Coordinate): GeoPoint {
   return createGeoPoint({ latitude: coordinate.latitude, longitude: coordinate.longitude });
 }
+
+// Stacking keys of the vector overlays this SDK added.
+const overlayStackKeys = new WeakMap<object, OverlayStackKey>();
+let overlayStackSequence = 0;
+
+/**
+ * Adds a polygon / circle / polyline overlay at its place in the shared stack
+ * (js-sdk-core OVERLAY_STACK_ORDER: polygon < circle < polyline, zIndex within the band, equal
+ * zIndexes in the order they were handed over).
+ *
+ * MapKit JS has no z-order for overlays: it draws them in the order of `map.overlays`. Overlays
+ * that belong above the new one are taken off and put back after it. Adding them in whatever
+ * order they arrived used to decide which kind was on top.
+ */
+export function addStackedOverlay(
+  map: mapkit.Map,
+  overlay: mapkit.Overlay,
+  kind: OverlayKind,
+  zIndex: number | null | undefined = 0,
+): void {
+  const key: OverlayStackKey = { kind, zIndex: zIndex ?? 0, sequence: ++overlayStackSequence };
+  overlayStackKeys.set(overlay, key);
+  const above = map.overlays.filter((other) => {
+    const otherKey = overlayStackKeys.get(other);
+    return otherKey != null && compareOverlayStackKeys(otherKey, key) > 0;
+  });
+  if (above.length > 0) map.removeOverlays(above);
+  map.addOverlay(overlay);
+  if (above.length > 0) map.addOverlays(above);
+}
diff --git a/src/polygon/MapKitPolygonOverlayRenderer.ts b/src/polygon/MapKitPolygonOverlayRenderer.ts
index c136154..bbadb05 100644
--- a/src/polygon/MapKitPolygonOverlayRenderer.ts
+++ b/src/polygon/MapKitPolygonOverlayRenderer.ts
@@ -8,7 +8,7 @@ import {
   type PolygonOverlayRenderer,
 } from '@mapconductor/js-sdk-core';
 import { MapKitViewHolder } from '../MapKitViewHolder';
-import { toCoordinates, toMapKitStyleColor } from '../helpers';
+import { toCoordinates, toMapKitStyleColor, addStackedOverlay } from '../helpers';
 import type { MapKitActualPolygon } from '../MapKitTypeAlias';
 
 // Match the ArcGIS/native geodesic densification cap so world-mask rings stay a
@@ -41,7 +41,7 @@ export class MapKitPolygonOverlayRenderer implements PolygonOverlayRenderer<MapK
       // MapKitViewController.handlePolygonClick).
       enabled: false,
     });
-    this.map.addOverlay(overlay);
+    addStackedOverlay(this.map, overlay, 'polygon', state.zIndex);
     return overlay;
   }
 
diff --git a/src/polyline/MapKitPolylineOverlayRenderer.ts b/src/polyline/MapKitPolylineOverlayRenderer.ts
index e002a94..7840634 100644
--- a/src/polyline/MapKitPolylineOverlayRenderer.ts
+++ b/src/polyline/MapKitPolylineOverlayRenderer.ts
@@ -7,7 +7,7 @@ import {
   type PolylineOverlayRenderer,
 } from '@mapconductor/js-sdk-core';
 import { MapKitViewHolder } from '../MapKitViewHolder';
-import { toCoordinates, toMapKitStyleColor } from '../helpers';
+import { toCoordinates, toMapKitStyleColor, addStackedOverlay } from '../helpers';
 import type { MapKitActualPolyline } from '../MapKitTypeAlias';
 
 /**
@@ -32,7 +32,7 @@ export class MapKitPolylineOverlayRenderer implements PolylineOverlayRenderer<Ma
       // map's single-tap coordinate (see MapKitViewController.handlePolylineClick).
       enabled: false,
     });
-    this.map.addOverlay(overlay);
+    addStackedOverlay(this.map, overlay, 'polyline', state.zIndex);
     return overlay;
   }