Platform has cut interest rates on 95% loan-to-value mortgages by as much as 0.15%, as rates now start from 3.14% for a 2-year fix with a £999 fee.
Other options are a 3-year fix at 3.24% and a 5-year fix at 3.49%, both with a £999 fee.
Alternatively there is a fee free 2-year fix at 3.39%, 3-year fix at 3.54% and 5-year fix at 3.64%.
All these products come with £500 cashback and a free standard valuation for purchases.
Paul Norcott, head of mortgages and insurance at The Co-operative Bank, said: “We continue to offer competitive deals for first-time buyers.
“By lowering the interest rates on our 95% LTV mortgages we are offering our broker partners good value mortgage products when looking for a higher LTV mortgage for their clients, that will enable them to purchase their first home.
“We’re also committed to act on broker feedback which is why we’ve made the change to our policy on builders’ incentives.
“We’re now able to accept them up to 5% of the purchase price of new build properties and we also continue to offer a competitive range of Help to Buy mortgages to further aid those looking to buy their ideal newly built home.”