At 75% LTV borrowers can access a two-year fixed rate of 1.39%, previously 1.48%, with a fee of £1,450.
A base rate tracker is available at 1.74% up to 60% LTV, cut from 1.99%.
Tracy Garrad, CEO of first direct, said: “We know that people have different priorities when it comes to selecting a mortgage product and it is important that our range is tailored to the needs of our customers. The latest rate changes mean that we can offer a wider range of market-leading rates. with and without fees, to suit all borrowers regardless of their financial position.”