Skipton has cut its 2 and 3-year fixed rate deals and its tracker and discount range by up to 0.2%.
It has also increased its 5-year fixed rate deal from 3.98% to 4.09%.
Kris Brewster, head of products at the Skipton said: "There's been a lot of speculation about the future direction of interest rates this week, following comments by new Bank of England governor Mark Carney.
“Some of this speculation centered on rising swap rates and the potential for a sooner-than-expected rise in the Bank of England Base Rate.
"However in our experience the interest rate trend for the time being remains very much downward.
“Therefore, we are delighted to be able to respond to that by making our range of fixed, tracker and discounted deals even more attractive for our customers as we continue lending strongly."