If you are asking if they can go on the mortgage instead of you, then that would require either refinancing the mortgage in their name OR a novation agreement with your current lender (removing/adding/substituting someone for another person on a mortgage). However without a social security # I am sure it will be very difficult to do. I won't say it CAN'T be done, because your lender may allow a novation agreement, but I don't think it'd be too likely. More information about your situation and the relative who wants to take over the payments would need to be known, i.e. why do they want to take over the payments, have they been living in the property, etc.