"We've got a voice now and manned re-entry is going to happen," Monk said on Friday.
"I'm ecstatic, to be honest. I've even had calls from (relatives) overseas who think it's great news."
During the election campaign Labour's deputy leader Kelvin Davis said a minister would be put in charge of re-entering the mine.
NZ First leader Winston Peters has always backed manned re-entry and once said he was prepared to be the first one in.
The families have been campaigning for it since the November 2010 explosions.
They believe there are intact bodies in the drift, the 2.3km tunnel that leads into the mine, and that evidence of what caused the blasts will be found.
"Getting down that drift is going to give some closure to the families," Monk said on Radio NZ.
"And one of the most important things is that we're going to get some justice and some accountability for what actually happened down there."