The fixed rate changes will come into effect on 26 June, with new products available from 8am on 26 June and old products being withdrawn at 10pm on 25 June.
Accord Mortgages said all two- and three-year fixed deals will go down by 0.09% and all five-year fixed products will fall by 0.03%.
Earlier this month, the firm increased maximum loan sizes and extended 95% loan-to-value (LTV) lending to new builds.
Skipton BS makes rate changes, tweaks fees and reintroduces select deals
Skipton Building Society said it would make rate reductions and rate increases to selected products across its whole product range.
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The firm said it would reintroduce its three-year fixed rate purchase range and adjust its fee structure for three-year deals, with the £1,459 fee tier being replaced by the £995 tier.
Skipton Building Society added that it would relaunch its two-year fixed rate remortgage range at 60% LTV.
It said it would make product withdrawals and additions across the residential existing customer range.
The firm added that its fee structure will be adjusted for its percentage fee existing customer range.
Coventry BS cuts fixed rates
Coventry Building Society will lower all fixed rates in its residential, buy-to-let (BTL) and portfolio BTL ranges from 8pm on 26 June.
The lender said in its residential range, all fixed products for new borrowers and existing borrowers would be lowered.
On the BTL and portfolio BTL side, all new borrower fixed deals, excluding limited company BTL, will be cut, along with all fixed products for existing borrowers.
The exact rate cuts have not been confirmed at this time.
