The 2-year fix is priced at 3.65%, with no product fee.
It has also reduced its 5-year fixed rate product, available up to 90% LTV, to 3.27%.
Both deals come with a free standard valuation and the 5-year 90% LTV fixed product also comes with fees assisted legal services for standard remortgages.
Matt Bartle, director of products at Leeds Building Society, said: “We’re constantly reviewing and improving our mortgage range and the changes we’re making will assist those buyers with smaller deposits, so are ideally suited to people looking to take their first step onto the housing ladder.
“Our latest 2-year fixed product comes with no product fee, which is an option first time buyers may welcome as they look to minimise their upfront costs and keep money to cover the unexpected costs which inevitably crop up when you move into your first home.
“Our 5-year fixed rate mortgage at 95% LTV has been popular since we launched this in April, so we’re improving our 90% LTV deal for the same fixed term.
“When economic circumstances are uncertain, longer term fixes allow borrowers security of repayments so they can plan their budget knowing that what tends to be their largest monthly outgoing will remain unchanged for the term.
“We work hard to offer a wide range of products, including shared ownership mortgages, that meet the needs of different types of borrowers, particularly those who are often under served by the wider market.”
