Slight increase in house prices
Prices rose by 0.6% in London and by 0.1% in the South East and East Anglia, but remained static or fell in the North, the Midlands and in Wales, Hometrack said.
The number of new buyers registering with estate agents across the country slowed over the month, recording a 0.4% increase compared with 2.1% in April.
The volume of properties coming to market also slowed down as part of a seasonal post-Easter pattern, but the 2.2% increase it recorded over the month is a higher rise than that for new buyers.
London has continued to demonstrate its relative strength in the tough market, with demand having risen ahead of supply over the last three months.
But across the Northern regions, the number of new potential buyers has risen by 9% while the number of houses coming on the market has increased much more sharply, by 28%.
In the East Midlands, the West Midlands and the South West prices remained unchanged over May, while they fell by 0.1% in Wales, the North East, the North West, and Yorkshire and Humberside.
Richard Donnell, director of research at Hometrack, said: "Increased mortgage rates and mounting concerns over the impact of the eurozone on the UK's economic growth and employment are likely to keep demand and prices in check as we move into summer."
Lenders have been raising their mortgage rates for both existing customers and new ones this month, blaming the weak economy and the increased cost of funding a mortgage.
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