"I'm pleased these families will be able to enjoy Christmas without the uncertainty this sale would create."
The homes - 39 per cent of the state house stock in Christchurch, including the Bryndwr house that former Prime Minister John Key grew up in - were going to be sold to private social housing providers.
It was part of the previous Government's plan to diversify ownership of social housing, which was meant to increase the overall social housing stock - with mixed results.
Attempts to find buyers for 348 state houses in Invercargill and 249 in Horowhenua failed, but a buyer was found for 1124 state homes in Tauranga.
As part of the Christchurch deal, the eventual winning bidder would have had to build 150 social houses in Christchurch, and the 2500 houses would remain as social housing and could not be sold unless the Government agreed.
Opposition leader Bill English said axing the sell-off was a "silly decision".
"If they have more organisations providing social houses, they will get more redevelopment done faster, and more housing stock faster.
"Labour are against the private sector, and no one else really cares. They just want the best houses now for the tenants, and having more operators providing those houses gives you the best chance."
Twyford said community housing providers still had an important role to play in housing those in need.
"But the first and last provider of public housing must be the state.
"The past Government ran down the total stock of state housing by 5000 while they were in office. If instead they had built 2000 state houses a year we would have 18,000 extra state houses and simply wouldn't have the homelessness problem that we do right now."
The Government plans to build at least 1000 state homes every year, with Twyford aiming for 2000.
Twyford said some state houses will still be sold.
"While this is the end of large-scale state housing sell-offs, Housing NZ will be rejuvenating its stock by building and buying newer homes where they are most needed and selling houses that are no longer fit for purpose.
"Sales to renew and grow the stock are quite different from the systematic large-scale sales used by the previous government to reduce the role of Housing NZ."