The 0.94 per cent remortgage product is available at 60 per cent loan to value (LTV) and has a fee of £995. This comes a month after it launched a two-year fixed mortgage with a rate of 0.99 per cent for first-time buyers and movers.
It also joins a raft of sub-one per cent deals released by lenders in the last few months at the same tier.
Equivalent two-year fixed remortgages up to 75 per cent LTV have seen reductions of up to 0.20 per cent, with the 60-75 per cent option now priced at 1.09 per cent.
The five-year fixed remortgages with early repayment charges (ERCs) for the period have also had reductions with rates of 1.14 per cent for 0-60 per cent LTV, and 1.34 per cent for 60-75 per cent LTV.
Elsewhere, the bank has reduced rates on first-time buyer and purchase five-year fixes by up to 50 basis points.
The product up to 60 per cent LTV with a £995 fee has a rate of 1.09 per cent, while the fee-free option has a rate of 1.54 per cent.
For borrowing requirements between 60-75 per cent LTV, the fee paying option has a rate of 1.34 per cent, while the fee-free deal is priced at 1.79 per cent.
TSB has also withdrawn two and five-year fixed remortgages at 0-75 per cent LTV with fees of £1,495. The maximum fee on any of its products is now £995.