diff --git a/packages/@aws-cdk/aws-ec2/lib/nat.ts b/packages/@aws-cdk/aws-ec2/lib/nat.ts
index 75cd31142c0b6..e991e732f38b0 100644
--- a/packages/@aws-cdk/aws-ec2/lib/nat.ts
+++ b/packages/@aws-cdk/aws-ec2/lib/nat.ts
@@ -1,4 +1,5 @@
 import * as iam from '@aws-cdk/aws-iam';
+import { Fn, Token } from '@aws-cdk/core';
 import { Connections, IConnectable } from './connections';
 import { Instance } from './instance';
 import { InstanceType } from './instance-types';
@@ -59,8 +60,8 @@ export abstract class NatProvider {
    *
    * @see https://docs.aws.amazon.com/vpc/latest/userguide/vpc-nat-gateway.html
    */
-  public static gateway(): NatProvider {
-    return new NatGatewayProvider();
+  public static gateway(props: NatGatewayProps = {}): NatProvider {
+    return new NatGatewayProvider(props);
   }
 
   /**
@@ -122,6 +123,19 @@ export interface ConfigureNatOptions {
   readonly privateSubnets: PrivateSubnet[];
 }
 
+/**
+ * Properties for a NAT gateway
+ *
+ */
+export interface NatGatewayProps {
+  /**
+   * EIP allocation IDs for the NAT gateways
+   *
+   * @default - No fixed EIPs allocated for the NAT gateways
+   */
+  readonly eipAllocationIds?: string[];
+}
+
 /**
  * Properties for a NAT instance
  *
@@ -203,11 +217,20 @@ export interface NatInstanceProps {
 class NatGatewayProvider extends NatProvider {
   private gateways: PrefSet<string> = new PrefSet<string>();
 
+  constructor(private readonly props: NatGatewayProps = {}) {
+    super();
+  }
+
   public configureNat(options: ConfigureNatOptions) {
     // Create the NAT gateways
+    let i = 0;
     for (const sub of options.natSubnets) {
       const gateway = sub.addNatGateway();
+      if (this.props.eipAllocationIds) {
+        gateway.allocationId = pickN(i, this.props.eipAllocationIds);
+      }
       this.gateways.add(sub.availabilityZone, gateway.ref);
+      i++;
     }
 
     // Add routes to them in the private subnets
@@ -377,4 +400,17 @@ function isOutboundAllowed(direction: NatTrafficDirection) {
 
 function isInboundAllowed(direction: NatTrafficDirection) {
   return direction === NatTrafficDirection.INBOUND_AND_OUTBOUND;
+}
+
+/**
+ * Token-aware pick index function
+ */
+function pickN(i: number, xs: string[]) {
+  if (Token.isUnresolved(xs)) { return Fn.select(i, xs); }
+
+  if (i >= xs.length) {
+    throw new Error(`Cannot get element ${i} from ${xs}`);
+  }
+
+  return xs[i];
 }
\ No newline at end of file
diff --git a/packages/@aws-cdk/aws-ec2/test/vpc.test.ts b/packages/@aws-cdk/aws-ec2/test/vpc.test.ts
index 9a5f4d04ce5f0..172bec102ccd0 100644
--- a/packages/@aws-cdk/aws-ec2/test/vpc.test.ts
+++ b/packages/@aws-cdk/aws-ec2/test/vpc.test.ts
@@ -855,6 +855,24 @@ nodeunitShim({
 
       test.done();
     },
+
+    'NAT gateway provider with EIP allocations'(test: Test) {
+      const stack = new Stack();
+      const natGatewayProvider = NatProvider.gateway({
+        eipAllocationIds: ['a', 'b', 'c', 'd'],
+      });
+      new Vpc(stack, 'VpcNetwork', { natGatewayProvider });
+
+      cdkExpect(stack).to(haveResource('AWS::EC2::NatGateway', {
+        AllocationId: 'a',
+      }));
+      cdkExpect(stack).to(haveResource('AWS::EC2::NatGateway', {
+        AllocationId: 'b',
+      }));
+
+      test.done();
+    },
+
     'Can add an IPv6 route'(test: Test) {
       // GIVEN
       const stack = getTestStack();