How do I inherit our house if my husband dies, as it is in his name.

Your husband needs to have his Will reviewed, to make sure it remained valid after your marriage and that it is validly prepared and executed. He will also need to make sure that he has any beneficiary designations up-to-date so that you are named as the primary beneficiary. Ideally, you should also have estate planning done for yourself. Any time you've had a major life event like a marriage, it's a good idea to get an estate planning consultation with an experienced estate planning attorney. That's the best way to be sure that you have a plan in place and that it will work the way you intend it to if a death or disability happens. Best wishes to you.