diff --git a/packages/stack/src/TransitionConfigs/CardStyleInterpolators.tsx b/packages/stack/src/TransitionConfigs/CardStyleInterpolators.tsx
index 89c6564f..70dafbb3 100644
--- a/packages/stack/src/TransitionConfigs/CardStyleInterpolators.tsx
+++ b/packages/stack/src/TransitionConfigs/CardStyleInterpolators.tsx
@@ -1,8 +1,9 @@
 import { I18nManager } from 'react-native';
 import Animated from 'react-native-reanimated';
 import { CardInterpolationProps, CardInterpolatedStyle } from '../types';
+import { getStatusBarHeight } from 'react-native-safe-area-view';
 
-const { cond, multiply, interpolate } = Animated;
+const { cond, add, multiply, interpolate } = Animated;
 
 /**
  * Standard iOS-style slide in from the right.
@@ -71,6 +72,58 @@ export function forVerticalIOS({
   };
 }
 
+/**
+ * Standard iOS-style modal animation in iOS 13.
+ */
+export function forModalPresentationIOS({
+  index,
+  progress: { current, next },
+  layouts: { screen },
+}: CardInterpolationProps): CardInterpolatedStyle {
+  const topOffset = 10;
+  const statusBarHeight = getStatusBarHeight(screen.width > screen.height);
+  const aspectRatio = screen.height / screen.width;
+
+  const progress = add(current, next ? next : 0);
+
+  const translateY = interpolate(progress, {
+    inputRange: [0, 1, 2],
+    outputRange: [
+      screen.height,
+      index === 0 ? 0 : topOffset,
+      (index === 0 ? statusBarHeight : 0) - topOffset * aspectRatio,
+    ],
+  });
+
+  const overlayOpacity = interpolate(progress, {
+    inputRange: [0, 1, 2],
+    outputRange: [0, 0.3, 1],
+  });
+
+  const scale = interpolate(progress, {
+    inputRange: [0, 1, 2],
+    outputRange: [1, 1, screen.width ? 1 - (topOffset * 2) / screen.width : 1],
+  });
+
+  const borderRadius =
+    index === 0
+      ? interpolate(progress, {
+          inputRange: [0, 1, 2],
+          outputRange: [0, 0, 10],
+        })
+      : 10;
+
+  return {
+    cardStyle: {
+      borderTopLeftRadius: borderRadius,
+      borderTopRightRadius: borderRadius,
+      marginTop: index === 0 ? 0 : statusBarHeight,
+      transform: [{ translateY }, { scale }],
+    },
+    overlayStyle: { opacity: overlayOpacity },
+  };
+}
+
 /**
  * Standard Android-style fade in from the bottom for Android Oreo.
  */
diff --git a/packages/stack/src/TransitionConfigs/TransitionPresets.tsx b/packages/stack/src/TransitionConfigs/TransitionPresets.tsx
index dc78e120..f1066a1c 100644
--- a/packages/stack/src/TransitionConfigs/TransitionPresets.tsx
+++ b/packages/stack/src/TransitionConfigs/TransitionPresets.tsx
@@ -3,6 +3,7 @@ import {
   forVerticalIOS,
   forWipeFromBottomAndroid,
   forFadeFromBottomAndroid,
+  forModalPresentationIOS,
 } from './CardStyleInterpolators';
 import { forNoAnimation, forFade } from './HeaderStyleInterpolators';
 import {
@@ -38,6 +39,17 @@ export const ModalSlideFromBottomIOS: TransitionPreset = {
   headerStyleInterpolator: forNoAnimation,
 };
 
+// Standard iOS modal presentation style (introduced in iOS 13)
+export const ModalPresentationIOS: TransitionPreset = {
+  direction: 'vertical',
+  transitionSpec: {
+    open: TransitionIOSSpec,
+    close: TransitionIOSSpec,
+  },
+  cardStyleInterpolator: forModalPresentationIOS,
+  headerStyleInterpolator: forNoAnimation,
+};
+
 // Standard Android navigation transition when opening or closing an Activity on Android < 9
 export const FadeFromBottomAndroid: TransitionPreset = {
   direction: 'vertical',
diff --git a/packages/stack/src/types.tsx b/packages/stack/src/types.tsx
index b980fbf1..256cc7e9 100644
--- a/packages/stack/src/types.tsx
+++ b/packages/stack/src/types.tsx
@@ -162,6 +162,7 @@ export type TransitionSpec =
   | { timing: 'timing'; config: TimingConfig };
 
 export type CardInterpolationProps = {
+  index: number;
   progress: {
     current: Animated.Node<number>;
     next?: Animated.Node<number>;
diff --git a/packages/stack/src/views/Stack/Card.tsx b/packages/stack/src/views/Stack/Card.tsx
index df63e11f..0000cba2 100755
--- a/packages/stack/src/views/Stack/Card.tsx
+++ b/packages/stack/src/views/Stack/Card.tsx
@@ -19,6 +19,7 @@ import StackGestureContext from '../../utils/StackGestureContext';
 import PointerEventsView from './PointerEventsView';
 
 type Props = ViewProps & {
+  index: number;
   active: boolean;
   closing?: boolean;
   transparent?: boolean;
@@ -404,11 +405,13 @@ export default class Card extends React.Component<Props> {
   private getInterpolatedStyle = memoize(
     (
       styleInterpolator: CardStyleInterpolator,
+      index: number,
       current: Animated.Node<number>,
       next: Animated.Node<number> | undefined,
       layout: Layout
     ) =>
       styleInterpolator({
+        index,
         progress: {
           current,
           next,
@@ -460,6 +463,7 @@ export default class Card extends React.Component<Props> {
 
   render() {
     const {
+      index,
       active,
       transparent,
       layout,
@@ -481,7 +485,13 @@ export default class Card extends React.Component<Props> {
       cardStyle,
       overlayStyle,
       shadowStyle,
-    } = this.getInterpolatedStyle(styleInterpolator, current, next, layout);
+    } = this.getInterpolatedStyle(
+      styleInterpolator,
+      index,
+      current,
+      next,
+      layout
+    );
 
     const handleGestureEvent =
       direction === 'vertical'
@@ -509,7 +519,7 @@ export default class Card extends React.Component<Props> {
               onHandlerStateChange={handleGestureEvent}
               {...this.gestureActivationCriteria()}
             >
-              <Animated.View style={[StyleSheet.absoluteFill, cardStyle]}>
+              <Animated.View style={[styles.container, cardStyle]}>
                 {shadowEnabled && !transparent ? (
                   <Animated.View
                     style={[styles.shadow, shadowStyle]}
diff --git a/packages/stack/src/views/Stack/StackItem.tsx b/packages/stack/src/views/Stack/StackItem.tsx
index ed3984cd..0781d383 100644
--- a/packages/stack/src/views/Stack/StackItem.tsx
+++ b/packages/stack/src/views/Stack/StackItem.tsx
@@ -78,6 +78,7 @@ export default class StackItem extends React.PureComponent<Props> {
 
   render() {
     const {
+      index,
       layout,
       active,
       focused,
@@ -110,6 +111,7 @@ export default class StackItem extends React.PureComponent<Props> {
 
     return (
       <Card
+        index={index}
         active={active}
         transparent={cardTransparent}
         direction={direction}