In 2001i was given a legal judcement that I have not paid
Can they take my house, to pay it

Its possible, but unlikely. We would need to know a lot more to help. Like what was the judgment for? Your general locale (laws vary by area). Do you have other assets? How old are you?

It will depend upon the state or country you are in, but in general, it will depend upon how much equity you have in the house. Do you have a mortgage loan or other liens (other than the judgment lien) upon the property?