I am married and having problems with my mate he has another woman and has told me he going to put me out the can he do this even though I have kids and the place we have is in both of our names

You have a right to that house just as much as he does. He can not make you leave and in order to protect yourself, get a divorce lawyer to start legal proceedings to protect your family. If you can't afford one, go down to social services and ask for free legal services.