To set up automated deployment pipelines on Kubernetes using Jenkins, first create a Jenkins namespace in your Kubernetes cluster, deploy the Jenkins server as a pod, and expose it with a service. Then, access the Jenkins UI by retrieving the node IP and installing suggested plugins. Next, create a Jenkins pipeline to deploy a containerized application to Kubernetes, using two stages: Kaniko Build & Push Image and Deploy App to Kubernetes. The pipeline uses Kaniko to build a Docker image from a Dockerfile and push it to Docker Hub, and then deploys the image to a Kubernetes cluster using kubectl. To run the kubectl command in the Jenkins pipeline, add credentials to Jenkins with the Kubernetes config file. Finally, create a new pipeline in Jenkins to run the Jenkinsfile, which defines the pipeline's stages and steps. By following these steps, organizations can automate their deployment pipelines and improve scalability and reliability in their software delivery process.