Does AWS support Kubernetes?

You can install Kubernetes on a normal Amazon EC2 server.

The new container service is a separate offering by Amazon, called ECS.

EDIT: AWS released in 2018 a new container service for Kubernetes called EKS: https://aws.amazon.com/eks/

Amazon Elastic Container Service for Kubernetes (Amazon EKS) makes it easy to deploy, manage, and scale containerized applications using Kubernetes on AWS. Amazon EKS runs the Kubernetes management infrastructure for you across multiple AWS availability zones to eliminate a single point of failure.

Kubernetes provides scripts to simple setup a cluster on a set of EC2 machines. The setup does pretty much everything needed to get started quickly.

Here is the link: https://github.com/GoogleCloudPlatform/kubernetes/blob/release-1.0/docs/getting-started-guides/aws.md