Britain's housing market softened in July after a small bounce the month before, a survey showed, adding to signs that Brexit worries are again making households cautious about shopping for a new home.

The Royal Institution of Chartered Surveyors said its headline price indicator fell back to -9 from a 10-month high of -1 in June, a steeper decline than economist had predicted.

The news follows figures from mortgage lender Halifax on Wednesday which showed house prices fell in July for a second consecutive month.

"The latest RICS results will provide little comfort for the market with all the key indicators pretty much flatlining", RICS chief economist, Simon Rubinsohn, said.

"The forward-looking metrics on prices and sales also seem to be losing momentum as concerns ... about Brexit and political uncertainty heighten," he added.