Disable auto updates in WordPress 3.7

The easiest way to manipulate core updates is with the WP_AUTO_UPDATE_CORE constant:

# Disables all core updates:
define( 'WP_AUTO_UPDATE_CORE', false );
# Enables all core updates, including minor and major:
define( 'WP_AUTO_UPDATE_CORE', true );
# Enables core updates for minor releases (default):
define( 'WP_AUTO_UPDATE_CORE', 'minor' );

If you do not want WP auto updates to happen on your site then add the above constant in your wp-config.php