@Pupitre1 if your name is on the deed, then yes, it is "your property". Presumably the mortgage is in your name as well.
In essence, your parents are your tenants and they are paying you rent. That is taxable income to you. You can deduct the mortgage interest on your tax return. The fact they are paying the bank directly (rather than paying you rent so you can pay the bank on the mortgage) doesn't change what is really occurring.
