John Nichols, H&T’s chief executive, said it was doing “everything it can to support A&B's customers”.
Fears that A&B loanees would not be able to get their pledged goods back had grown following its abrupt closure earlier this month, but H&T says debts can be redeemed or extended through its 248 branches.
Kohei Ogawa, chief executive of Daikokuya Holdings, the owner of A&B, added: "We deeply apologise to customers for any uncertainty and upset caused by our decision to close in the UK.
“Once we decided to do this, we had to move quickly, in order to secure more than 35,000 customer pledges in our central secure facility.
“This agreement with H&T is a good outcome for customers and will enable them to redeem or extend their pledges with minimal disruption."
Separately, H&T said trading was going well and ahead of the board's expectations helped by the recent increase in the gold price and recent acquisitions.
Nichols added the acquired A&B assets will further improve profitability for the year as a whole.