The headline product is a two-year fixed-rate deal at 1.89% up to 60% loan-to-value (LTV) which comes with a £1,300 fee.
The lender has also launched a Bank of England base rate tracker at 1.50%, also available up to 60% LTV with a product fee of £800.
All Tesco Bank customers receive Clubcard points as they repay their mortgage, collecting one point for every £4 on monthly repayments.
David McCreadie, managing director, banking at Tesco Bank, said: “We are delighted to launch these new mortgage products, which we believe reflect our commitment to offer a range of highly competitive mortgages for Tesco customers.”