Two lenders, Virgin Money and Skipton, say they will stop mortgage offers to new customers.
Some mortgage deals have been withdrawn by banks and building societies due to volatility in the pound following the government's mini-budget.
The bank said it would "not hesitate" to hike interest rates to curb inflation, after the pound fell to a record low against the US dollar. Overnight, the pound appeared to settle at $1.07. The plans will require a large increase in government borrowing and concerns among investors about the country's ability to repay that debt led to the value of the pound being pushed down. The cost of UK government borrowing also climbed.
The Bank of England said it would make a full assessment as to whether it should change interest rates at its next meeting on 3 November, following speculation it might have intervened earlier.