Do both of you live in the house or is it an investment property?
Are you married/single?
It is possible to do this. Let's say you're both living in the property - you can add your OH to the mortgage known as joint mortgage sole title.
If you're not married the bank will probably insist your OH is put onto the existing mortgage (as a borrower) as well to protect his interests.
Depending on how much you're looking for and how much input his income has to getting it, they may want him on the title also (if single).
If you are married he will already have legal entitlements. He will have to sign additional documents consenting to you taking out further borrowings and again the bank may want him to go on the existing mortgage.
He should also get independent legal advice.