The house price index in Perth rose 6.6 per cent in the December quarter, the greatest percentage change out of the eight capital cities, according to the Australian Bureau of Statistics.
Over the full year, prices were up 22.5 per cent in Perth, while Darwin led the capital cities with a 23.2 per cent increase.
The ABS said the price of housing in the nation's capital cities rose 2.1 per cent during the December quarter.
Over the past 12 months, prices in the cities were up 2.3 per cent.
During the quarter, prices in other capital cities rose 6.1 per cent in Darwin, 2.3 per cent in Melbourne, two per cent in Brisbane, 1.8 per cent in Hobart, 1.1 per cent in Adelaide, one per cent in Sydney and 0.9 per cent in Canberra.
Price rises over the fully year in other cities were much more moderate. They rose 5.4 per cent in Hobart, 3.5 per cent in Brisbane, 3.4 per cent in Adelaide, 2.9 per cent in Melbourne and 0.8 per cent in Canberra.
Sydney house prices fell 3.9 per cent.