The National Audit Office found over the last six years there has been a 60 per cent rise in households in temporary accommodation, which includes 120,540 children.
A snapshot overnight count last autumn recorded 4,134 rough sleepers, a 134 per cent hike since the Conservatives took power.
Pete Cunningham from the Christian homeless charity Green Pastures told Premier News Hour the spike in numbers was inevitable.
He said: "There is no doubt there is an increase like this. When you think that the figures show that we are building 100,000 homes too few every year, we're already 700,000 behind and we need to spend something like £70 billion to catch up."
The ending of private sector tenancies has now become the main cause of homelessness in England, rather than changes in personal circumstances such as relationship breakdowns, with a threefold increase in numbers since 2010/11, the NAO found.
Rents have gone up at the same time as household incomes from benefits have been cut, it said.
Local housing allowance reforms are "likely to have contributed" to making tenancies for claimants less affordable and "are an element of the increase in homelessness", according to the report.
Cunningham accused the government of passing "pieces of legislation that has continually hindered the most marginalised in our society" and told Premier the government doesn't seem to recognise the effects of it.
He said that he sees the impact of homelessness throughout the country.
"I see quite a lot of local authorities that have people that are in bed and breakfast.
"In Barking they had 1,800 people in bed and breakfast.
"I was in Plymouth over the weekend. The local authority has spoken to us and has said 'can you help us house families?'.
"Wherever we go we see that this problem is growing and that councils have got a duty of care and it's actually costing us more money as tax payers to put people in bed and breakfast than it is to build the houses and accommodate them."
Most of the £1.1bn councils spent on homelessness in 2015/6 went on temporary accommodation, up by 39 per cent in real terms since 2010/11 - from £606 million to £845 million.
Over the same period spending on other services, such as prevention, support and administration, fell by 9 per cent - from £334 million to £303 million.
A Government spokesman said: "Tackling homelessness is a complex issue with no single solution, but this Government is determined to help the most vulnerable in society.
Cunningham said the Church also has a part to play in finding a solution.
"[It] can actually invest in housing people. Our model is based on Christians investing in us and we buy property across the country and that is what I would love to see."
Listen to Pete Cunningham speaking with Premier's Marcus Jones here:
