Is it against the law to discriminate because you have a crimal record

I applied for a job and they said the reason why I wasn't picked for The position was because of my background and my qualification.  Back In 2008 I applied for the same position and at that time I didn't enclosed my background  But they gave me an interview and even offered me the position.  Until my background  Came back that I lied they took the position back.  Now it's 4 yrs later I apply for the same  Position and this time I enclosed information about it and they send me a letter stating that the Reason I wasn't selected was because of my background and qualification.  What can I do.