A net balance of 52% of RICS surveyors noted an increase in new buyer enquiries in September.
New instructions coming onto the sales market also rose for a fourth month in a row, which now signifies the longest stretch of rising supply going back to 2013.
Tenant demand mostly increased, though it fell in London.
Alan Cleary, managing director for mortgages at OneSavings Bank, said: “Evidence from the latest RICs market survey shows house prices rising strongly and tenant demand remaining firm in September, though falling a little from the high levels reached in July and August.
“Rising house prices should provide a natural support to rental growth. The immediate outlook is for a period of robust growth in overall levels of housing market activity, with transactions and prices continuing to drift upward.”
