A $9.6 million accommodation development in Hobart's CBD is providing permanent supportive housing for formerly homeless and low income Tasmanians.

The Minister for Human Services Cassy O'Connor and Labor Senator for Tasmania Lisa Singh today joined members of Common Ground Tasmania to officially open the 47 unit complex in the heart of Hobart.

The facility has 22 one-bedroom apartments for independent living, a further 25 studio apartments, and communal areas including a laundry, kitchen, dining room and television room and support offices.

"It's the first time the Common Ground model has been used in Tasmania, bringing together a mix of tenants who were homeless and those in need of affordable housing," Ms O'Connor said.

"This is about more than just putting a roof over someone's head, it's about giving them the support they need, with on-site services provided by Anglicare Tasmania, to re-engage with their community.

"Through projects like this we are helping to build new opportunities for disadvantaged Tasmanians to get a new start in life."

Ms O'Connor said the Common Ground facility was the fourth of five new supported accommodation developments, aimed at delivering housing for 165 Tasmanians who need it most.

"We are committed to working with both the Commonwealth and service providers to find permanent solutions to homelessness," she said.

"By the end of 2010, we had already exceeded the target of halving the number of Tasmanian's sleeping rough through the provision of 193 new homes.

"Through an unprecedented investment from State and Federal Governments, we delivered on our promise to build 1,400 new affordable homes from January 2009 to June 2012 and, over the next four years, we will build more than 1,000 homes and release 200 plots of land to be made available for social and affordable homes."

The first supported accommodation facility opened in 2011 and is located in Ulverstone, with another two in Launceston - all three managed by Anglicare Tasmania and Community Housing Limited.

The final facility in Campbell Street is under management of Common Ground Tasmania.