House prices rose again in June but only by 0.1%, according to the Nationwide building society.
The rise follows a 0.5% increase in May, with the average property in the UK now costing more than £170,000.
Prices have risen by 3% since the start of the year, the Nationwide's house price index showed.
However, the rate of annual house price inflation fell again to 8.7%, with prices rising more slowly than they did this time last year.
Commenting on the figures, Nationwide's chief economist Martin Gahbauer said the slowdown may be due to an increase in the number of properties up for sale.
"Recent indicators point to an increase in the supply of property coming to the market for sale, perhaps in response to the abolition of Hips (Home Information Packs) in the opening days of the new coalition government," he said.

"With the level of demand remaining broadly stable, this would in part help to explain the recent slowdown observed in the rate of house price inflation."
The coalition government confirmed that Hips would be abolished following the election in May.