The private sector with current tax and planning law can only construct 150,000-200,000 homes a year while demand is a little over 300,000 homes per year. This means that there is underlying pressure for house prices to increase over time.
The real thing pushing up house prices though is mortgage/credit availability and until the end of the year at least (help to buy is being scrapped) government intends to continue pushing banks to lend.
If the banks are free of government interference then we could see a situation like 2010-2012 where house prices grew at more or less the same rate as wages nationally (declining in most of the country a little, rising still in London) but it will be a slow process for house prices to become more available for the average person.