I have been dating my cousin for just over a year now and we are very much in love we are currently living together but our family thinks I'm staying there till I find my own place.we want to be together but don't know how to tell our family because they will never accept us.please help how do we tell them.

How old are the both of you?
The best way to tell the truth is to just tell it. Apologize for the fact that you have been lying to them.

Im 27 and he is 29.

You two are adults, I would almost bet that your family is not in the dark.
Be adults and tell them.

They heard stories about us and confronted us but we denied it because they were already angry about the rumours they heard saying don't we know we cousins.we know its wrong but I've never felt the way he makes me feel his everything I ever wanted in a man we both tried so many times to go separate ways but can't go through with it.

Well it is something you'll have to deal with. You two can either continue living a lie, or be honest.