Saturn ION 2003 Problems to Start

I have Saturn ION 2003, I changed the battery and still the problem persist.
When trying to start, you can hear the clicking but nothing happen, the car can not start, after some time, on 15 minutes trying again and start normally, but as soon as you turn off and trying again to start is the same problem.
Any Help?

These historically have an ignition switch issue causing a pass lock situation. Refer to this for fix. Scroll down to white wire fix for quick solution. http://moontaj.com/passlock