Associate Local Government Minister Sam Lotu-Iiga said the Government had received "mixed signals" from Labour over the bill, but welcomed its support.
"If there is legislative time I'm certainly going to hopefully progress the bill to third reading and we'll get it passed."
Labour's housing spokesman, Phil Twyford, said the Government was playing politics over the bill and whether it could be passed this term.
"They never asked us or approached us for our support even though we'd supported it at first and second readings, now they've done a complete flip flop and they say they are going to try to pass it before the election.
"They're playing politics with the issue of Auckland's growth and housing."
But Local Government NZ president Lawrence Yule said he was surprised to hear of Labour's support for the bill's final reading.
While Auckland Council had warned that reductions in development contributions could saddle ratepayers with higher rates and more debt to fund community facilities, Mr Yule said his members largely welcomed the legislation.