Praise be to Allaah.
If the bank owns the house, then it is permissible for it to sell it to
you for a fixed price, whether payment is deferred or made in installments, even if this
will cost more than paying the full price for it immediately. This is according to the
more sound opinion among the scholars.
But if the bank is involved in this transaction as the supplier or lender
of funds, which you then have to repay with some extra, then this is clearly an
interest-based transaction, which is undoubtedly haraam.
It may be almost impossible to avoid interest-based transactions when
dealing with real estate in many countries, and one may hardly be able to find any halaal
alternative, but the Muslim must bear this with patience and seek out halaal means. Allaah
says (interpretation of the meaning):
And whosoever fears Allaah and keeps
his duty to Him, He will make a way for him to get out (of every difficulty). And He will
provide for him from (sources) he could never imagine. And whosoever puts his trust in
Allaah, then He will suffice him. Verily, Allaah will accomplish his purpose. Indeed
Allaah has set a measure for all things. [al-Talaaq 65:2-3]
May Allaah bless our Prophet Muhammad.