Palawa senator Jacqui Lambie unleashed at Greens Senator Barbara Pocock over the minor party's opposition to the government's proposed Housing Australia Future Fund bill.

The bill was voted down in the senate on Thursday, with the Greens siding with the Coalition to reject the bill, suggesting it does not go far enough to address Australia's imminent housing crisis.

Preceding the vote, Senator Pocock told the Sky News Australia panel including Senator Lambie, independent senator David Pocock and One Nation Senator Malcolm Roberts that the proposed bill was inadequate based on the nation's current housing demands.

"The bill that is there on the table leads doesn't even keep up with the growth in people who are looking for housing. It cannot solve the problem," Senator Pocock said.

"We need to grow supply but we also most importantly, have to deal with renters."

Stating her dissatisfaction in the bill's rental assistance measures, equating to $1.18 per day, Senator Pocock said rental properties are becoming increasingly unaffordable.

"We know people can't find rental properties and they can't afford it. The price of rental has gone up so much," Senator Pocock said.

"We're very unhappy with that bill. We feel like the government has the capability to do much more and I know as an economist it's about growing the supply and that bill will not do it fast enough to keep up with what's projected."

In response to Senator Pocock's perspective, Senator Lambie saw red, accusing the Greens of under-utilising the party's power in the senate.

"If you don't start building these houses now, you're going to have more people out there," Ms Lambie said

"You have the biggest balance of power in that bl**dy senate up there. That's what you have and you can't keep doing deals … you've got to be kidding me.

"You have to start today. Those people need a roof over their head today."

The $10 billion Housing Australia Future Fund aimed to fund 30,000 new social and affordable rental homes in five years, including 4,000 dwellings for women and children fleeing domestic violence and for older women at risk of homelessness.

The Greens oppose the bill in its current form, calling for a national rent freeze, Commonwealth assistance to be doubled and for $5 billion to be spent on housing per year.

Senator Lambie's Jacqui Lambie Network were in support of the deal after her party struck a deal with Labor, which guaranteed a minimum 1,200 social and affordable housed be built in each state over a five-year period.