The decline in Sydney and Melbourne home prices paused last week, but only just.

After seven straight weekly declines, Sydney property prices remained flat in the week to May 4, while Melbourne prices inched 0.3 per cent higher - the first time they have done so for a month.

Perth - the biggest faller over the past year - rose 1.1 per cent and Adelaide rose 0.8 per cent, but Brisbane declined 0.4 per cent, according to the latest data from CoreLogic.