According to property tracking website Rightmove, U.K. house prices rose 2.9% in February, after a 0.5% increase in January.

Housing demand was higher than ever, Rightmove said in its statement.

"The new year's market has hit the ground running in many locations, continuing last year's momentum and resulting in the price of property coming to the market hitting a new high. Many agents reported high numbers of sales in November and December and properties selling more quickly, so it's encouraging to see signs of replenishment of property, especially in the first-time buyer sector," Rightmove director and housing market analyst, Miles Shipside, said.

On a yearly basis, house prices in the U.K. climbed 7.2% in February, after a 6.5% increase in January.