diff --git a/README.md b/README.md
index ed0c1c06..18723be5 100644
--- a/README.md
+++ b/README.md
@@ -51,6 +51,7 @@ Serverless Framework v2.32.0 or later is required.
          - [Specifying a RoleArn](#specifying-a-rolearn)
          - [Specifying a custom CloudWatch EventBus](#specifying-a-custom-cloudwatch-eventbus)
          - [Specifying a custom EventBridge EventBus](#specifying-a-custom-eventbridge-eventbus)
+         - [Specifying a DeadLetterQueue](#specifying-a-deadletterqueue)
  - [Tags](#tags)
  - [Commands](#commands)
      - [deploy](#deploy)
@@ -1156,6 +1157,73 @@ stepFunctions:
         ...
 ```
 
+#### Specifying a DeadLetterQueue
+
+You can configure a target queue to send dead-letter queue events to:
+
+```yml
+stepFunctions:
+  stateMachines:
+    exampleEventBridgeEventStartsMachine:
+      events:
+        - eventBridge:
+            eventBusName: 'my-custom-event-bus'
+            event:
+              source:
+                - "my.custom.source"
+              detail-type:
+                - "My Event Type"
+              detail:
+                state:
+                  - pending
+            deadLetterConfig: 'arn:aws:sqs:us-east-1:012345678910:my-dlq' # SQS Arn
+      definition:
+        ...
+```
+##### Important point
+Don't forget to [Grant permissions to the dead-letter queue](https://docs.aws.amazon.com/eventbridge/latest/userguide/eb-rule-dlq.html#eb-dlq-perms), to do that you may need to have the `ARN` of the generated `EventBridge Rule`.
+
+In order to get the `ARN` you can use [intrinsic functions](https://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/intrinsic-function-reference.html) against the `logicalId`, this plugin generates `logicalIds` following this format:
+```ts
+`${StateMachineName}EventsRuleCloudWatchEvent${index}`
+```
+Given this example 👇
+```yml
+stepFunctions:
+  stateMachines:
+    hellostepfunc1: # <---- StateMachineName
+      events:
+        - eventBridge:
+            eventBusName: 'my-custom-event-bus'
+            event:
+              source:
+                - "my.custom.source"
+        - eventBridge:
+            eventBusName: 'my-custom-event-bus'
+            event:
+              source:
+                - "my.custom.source"
+            deadLetterConfig: 'arn:aws:sqs:us-east-1:012345678910:my-dlq'
+      name: myStateMachine
+      definition:
+        Comment: "A Hello World example of the Amazon States Language using an AWS Lambda Function"
+        StartAt: HelloWorld1
+        States:
+          HelloWorld1:
+            Type: Task
+            Resource:
+              Fn::GetAtt: [hello, Arn]
+            End: true
+```
+Then
+```yaml
+# to get the Arn of the 1st EventBridge rule
+!GetAtt Hellostepfunc1EventsRuleCloudWatchEvent1.Arn
+
+# to get the Arn of the 2nd EventBridge rule
+!GetAtt Hellostepfunc1EventsRuleCloudWatchEvent2.Arn
+```
+
 ## Tags
 
 You can specify tags on each state machine. Additionally any global tags (specified under `provider` section in your `serverless.yml`) would be merged in as well.
diff --git a/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.js b/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.js
index 1057a425..ac83455b 100644
--- a/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.js
+++ b/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.js
@@ -23,6 +23,7 @@ module.exports = {
             let Name;
             let EventBusName;
             let IamRole;
+            let DeadLetterConfig;
 
             if (typeof eventRule === 'object') {
               if (!eventRule.event) {
@@ -45,6 +46,7 @@ module.exports = {
               Name = eventRule.name;
               EventBusName = JSON.stringify(eventRule.eventBusName);
               IamRole = eventRule.iamRole;
+              DeadLetterConfig = JSON.stringify(eventRule.deadLetterConfig);
 
               if (Input && InputPath) {
                 const errorMessage = [
@@ -94,6 +96,7 @@ module.exports = {
                     ${InputPath ? `"InputPath": "${InputPath.replace(/\r?\n/g, '')}",` : ''}
                     "Arn": { "Ref": "${stateMachineLogicalId}" },
                     "Id": "${cloudWatchId}",
+                    ${DeadLetterConfig ? `"DeadLetterConfig":{ "Arn" : ${DeadLetterConfig} },` : ''}
                     ${IamRole ? `"RoleArn":"${IamRole}"` : `"RoleArn": {
                       "Fn::GetAtt": [
                         "${cloudWatchIamRoleLogicalId}",
diff --git a/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.test.js b/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.test.js
index c89e9a0c..17a47172 100644
--- a/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.test.js
+++ b/lib/deploy/events/cloudWatchEvent/compileCloudWatchEventEvents.test.js
@@ -327,6 +327,68 @@ describe('awsCompileCloudWatchEventEvents', () => {
         .Properties.EventBusName).to.equal('{"Fn::If": [isLocal, "develop", "production"}');
     });
 
+    itParam('should respect deadLetterConfig variable', ['cloudwatchEvent', 'eventBridge'], (source) => {
+      serverlessStepFunctions.serverless.service.stepFunctions = {
+        stateMachines: {
+          first: {
+            events: [
+              {
+                [source]: {
+                  event: {
+                    source: ['aws.ec2'],
+                    'detail-type': ['EC2 Instance State-change Notification'],
+                    detail: { state: ['pending'] },
+                  },
+                  enabled: false,
+                  input: '{"key":"value"}',
+                  name: 'test-event-name',
+                  eventBusName: 'custom-event-bus',
+                  deadLetterConfig: 'arn:aws:sqs:us-east-1:012345678910:my-dlq',
+                },
+              },
+            ],
+          },
+        },
+      };
+
+      serverlessStepFunctions.compileCloudWatchEventEvents();
+
+      expect(serverlessStepFunctions.serverless.service
+        .provider.compiledCloudFormationTemplate.Resources.FirstEventsRuleCloudWatchEvent1
+        .Properties.Targets[0].DeadLetterConfig.Arn).to.equal('arn:aws:sqs:us-east-1:012345678910:my-dlq');
+    });
+
+    itParam('should respect deadLetterConfig intrinsic function', ['cloudwatchEvent', 'eventBridge'], (source) => {
+      serverlessStepFunctions.serverless.service.stepFunctions = {
+        stateMachines: {
+          first: {
+            events: [
+              {
+                [source]: {
+                  event: {
+                    source: ['aws.ec2'],
+                    'detail-type': ['EC2 Instance State-change Notification'],
+                    detail: { state: ['pending'] },
+                  },
+                  enabled: false,
+                  input: '{"key":"value"}',
+                  name: 'test-event-name',
+                  eventBusName: 'custom-event-bus',
+                  deadLetterConfig: '{"Fn::GetAtt":["DLQ","Arn"]}',
+                },
+              },
+            ],
+          },
+        },
+      };
+
+      serverlessStepFunctions.compileCloudWatchEventEvents();
+
+      expect(serverlessStepFunctions.serverless.service
+        .provider.compiledCloudFormationTemplate.Resources.FirstEventsRuleCloudWatchEvent1
+        .Properties.Targets[0].DeadLetterConfig.Arn).to.equal('{"Fn::GetAtt":["DLQ","Arn"]}');
+    });
+
     itParam('should respect input variable as an object', ['cloudwatchEvent', 'eventBridge'], (source) => {
       serverlessStepFunctions.serverless.service.stepFunctions = {
         stateMachines: {