Unease over the economy and a lack of mortgage availability continued to dampen demand, it said.
But surveyors expected the housing market to pick up during the spring.
"Although bad weather hit the housing market during December sales levels have remained stable," said Jeremy Leaf, Rics spokesman.
"While lack of supply, and more importantly demand continues to impact heavily, surveyor sentiment does appear more positive for the coming months.
"The key issue now is mortgage finance.
However, with commentators suggesting lending constraints are unlikely to be eased, it is hard to envisage a meaningful increase in sales levels in the near term.
"Prices Some 39% more surveyors reported house price falls than gains in December, although the proportion was slightly greater (44%) in November.
Surveyors expected sales to pick up slightly in the coming months.
A greater proportion of surveyors expected prices to fall than to rise in the coming months, the survey found.
Some 272 estate agents in the UK, who are members of Rics, were polled in the survey which reflects confidence in the property market rather than what is actually happening to house prices.
A poll by the National Association of Estate Agents suggested its members had seen a "jump start" in interest among buyers and sellers at the start of 2011.
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