Two of the towns with the biggest rise in house prices were in the London region. Uxbridge had a 11.7% gain and Bromley had an 11.5% gain.
Grays in Essex was one of the towns with the biggest fall in average house prices, with a 7.3% drop.
Nine of the 10 towns which saw the biggest declines in prices are outside the South, reflecting the continued regional divide in the property market.
He expects continuing broad stability in house prices nationally in 2013, with the North/South divide in price performance likely to persist next year.
Southend in Essex has recorded the biggest rise in house prices among major UK towns and cities over the past year, according to research by Halifax.
The average selling price in the seaside resort was 14.8% higher than the previous year, rising to £198,418 by the end of 2012, compared with an improvement of 2.1% on average across the whole of Essex.