Its latest monthly survey shows sales and prices were generally flat, while interest from would-be buyers was declining.
The survey results chime with those of other recent property surveys.
However, Rics said there were big regional differences, with London very different to the rest of the UK.
"The rather negative outlook for property prices across the UK seems to better reflect the general economy than the micro climate of London," said Rics housing spokesperson, Ian Perry.
"The low level of buyer interest in many parts of the UK continues to impact on the market, resulting in some downward pressure on prices.
"With the prospect of forthcoming interest rate rises and continued shortage of mortgage funding, it seems that overall recovery for the national housing market is still some way off," he added.Capital gains
The Rics survey was based on answers from 259 surveyors who work as estate agents and the survey has traditionally had its finger on the pulse of the market.
The March survey found that nearly 60% of surveyors reported no change at all in the prices of the properties they had sold.
Where prices had fallen, they were normally just 0%-2% lower than before.
"Within England and Wales, a clear North South divide is emerging, with London being the only region recording rising prices, demonstrating that the capital is still operating under different market conditions to the rest of the country," Rics said.
The generally stagnant nature of the property market was highlighted by the fact that completed sales per surveyor fell to their lowest level for 21 months, at just 14.4 sales in the past three months.
Meanwhile the number of homes for sale also dropped, to 64.6 per surveyor.
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