Ansible: copy a directory content to another directory

You could use the synchronize module. The example from the documentation:

# Synchronize two directories on one remote host.
- synchronize:
    src: /first/absolute/path
    dest: /second/absolute/path
  delegate_to: "{{ inventory_hostname }}"

This has the added benefit that it will be more efficient for large/many files.

EDIT: This solution worked when the question was posted. Later Ansible deprecated recursive copying with remote_src

Ansible Copy module by default copies files/dirs from control machine to remote machine. If you want to copy files/dirs in remote machine and if you have Ansible 2.0, set remote_src to yes

- name: copy html file
  copy: src=/home/vagrant/dist/ dest=/usr/share/nginx/html/ remote_src=yes directory_mode=yes