I am currently married to a man that has supported my kids since age 2 its now more than 10 yrs later I have full custody my ex has no rights at all never has pd a penny has an exstensive arrest record has made no atempt to get any rights can my husband adopt them they only know him as dad

Talk to a lawyer.

An attorney will start you down the path of the EXACT methods you need to take to have the biodad's rights signed away before your husband can adopt.