Elsewhere, myhome.ie also found that asking prices eased in the last three months of the year, while still higher than the end of 2013
It estimates some 40,000 properties were bought during the year, up almost 40pc.
While average asking prices in Dublin were up 2.2pc since the end of 2013, the rate of increase was down on the previous two quarters when asking prices grew by 3pc and 4.5pc.
While it found average asking prices increased by 2.6pc nationally to €194,000 over the year, MyHome.ie also warned new guidelines from the Central Bank mortgage lending will limit the rate of price increases seen in recent times.
Caroline Kelleher, from DKM Economic Consultants, said uncertainty over a number of new developments in the market is also likely to dampen the rate of price increase in the coming year.
“The Central Bank’s new guidelines on mortgage lending which are expected to introduce a Loan to Value limit of 80pc for new lending along with separate proposals to restrict any residential mortgage to 3.5 times gross annual income have the potential to limit the rate of price increases seen in recent times,” Ms Kelleher said.
The reports comes on the back of the most recent report on house prices from the Central Statistics Office, which a fortnight ago said property prices in Dublin fell for the first time since February.
Economist Ronan Lyons, who compiled the Daft report, said the numbers showed that Central Bank plans to significantly tighten rules for how the banks dispensed mortgages were already having an effect on the market, even before they were implemented.
The Central Bank wants to cap loan-to-value ratios at 80pc and limit lending to three-and-a-half times a borrower's salary.
While sources do not expect that plan to be implemented in its current form, the drop in asking prices appears to show that it is already having a strong effect on market sentiment.
"The intention of the proposed Central Bank limits on mortgage lending is to limit increases in house prices by affecting both buyer expectations and the credit available to them," said Dr Lyons.
"It seems that, even though the limits have not yet come into force, they have already had some impact. For example, when asked what they expected will happen Dublin house prices over the coming 12 months, survey respondents in September expected an increase of 12pc. In December, however, that figure had fallen to 5pc," he said.
"Restricting the amount lent to each household is a necessary first step to ensuring a stable housing market.
"The second step is addressing the cost base, to ensure an adequate supply of housing. With fewer than 30,000 properties on the market currently - and just 3,500 of those in Dublin - this is the challenge for policymakers as we move into 2015," Dr Lyons said.
The survey results will raise questions if the market has peaked in its current cycle.
Despite the strong growth over the past two years, prices are still far below than the peaks witnessed during the credit-fuelled boom of the last decade.
Daft claims that the average asking price nationwide is now €193,000, 12.8pc higher than the value of €171,000 recorded at the start of 2014.
That puts current prices at just over 51pc of the record asking price of €378,000 that was posted in 2007.