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In London, the average home price came in at 393,462 pounds in September, according to data from the Land Registry, up 1.9 percent from August and 9.3 percent from September 2012. The average property value in England and Wales was 167,063 in September, according to the data.
In cental London, the average price in the Westminster burough was 829,251 pounds in September, up 3.8 percent from September 2012, while properties in Kensington and Chelsea averaged 1.17 million pounds in September, up 7.5 percent from September 2012.
Global real-estate consultancy Knight Frank also doesn't expect central London's property prices to hit a speed bump any time soon.
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While the segment's prices are already above their early-2008 pre-financial crisis peak after rising over 60 percent from their March 2009 post-crash low, "price growth will continue," it said in a report.
Knight Frank expects prices may stall in 2015 in the uncertainty surrounding the run-up to the U.K. general election, but it forecasts they will still outpace inflation.
It projects prime central London prices will rise 4.0 percent in 2014, stall in 2015, before resuming their rise at around 5.0 percent a year, for 20 percent cumulative growth by the end of 2018.
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"We expect strong domestic and international demand to continue to support price growth in central London," it said. But it added, prime central London may no longer lead price gains ahead.
Certain areas of London may see property prices outperform due to the launch of the Crossrail service, it said.
"As the opening of the high-speed service approaches, we foresee prices in and around central London stations gaining extra momentum," it said.
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"There will instead be a 'doughnut' effect, as prices in the 29 boroughs surrounding the prime London core begin to accelerate at a faster pace," the report said. "The sheer demand to live in or around London, coupled with the lack of supply in the Greater London area, will underpin this price growth."
Much of the fresh demand may be domestic, it said, noting the London area's relatively brighter outlook compared with the rest of the U.K.
It forecasts prime outer London prices will rise a cumulative 23.0 percent by the end of 2018.
—By CNBC.Com's Leslie Shaffer; Follow her on Twitter@LeslieShaffer1