Following the Budget, which included plans to borrow and spend billions of pounds, financial markets expect the Bank of England to cut rates more slowly than previously anticipated.
However, the Bank is still expected to cut its key rate to 4.75% from 5% later on Thursday.
Halifax said house prices edged up by 0.2% in October, meaning property values have now increased for four months in a row.
House prices are up 3.9% from a year earlier, Halifax said, which is a slight decrease from the 4.6% annual increase seen in September.
Commenting on the new record high, Amanda Bryden, head of mortgages at Halifax, said: “That house prices have reached these heights again in the current economic climate may come as a surprise to many, but perhaps more noteworthy is that they didn’t fall very far in the first place.
“Despite the headwind of higher interest rates, house prices have mostly levelled off over the past two and a half years, recording a +0.2% increase overall.”