Hello, kyisme.

http://psychcentral.com/lib/2006/wha...ual-addiction/
http://www.medicinenet.com/sexual_addiction/article.htm

As these articles note, those who will not acknowledge a problem likely are going to continue. In fact, their behavior may get worse. He must be spending some money to carry on his addiction.

Does he love you? Is he the father of the children?

Perhaps you might consider therapy?

Good luck in whatever you decide.