Thousands will be fined under laws punishing families with spare rooms in the borough's social housing - yet new figures show only 10 alternatives homes are available.

The so-called 'Bedroom Tax', introduced on April 1, cuts housing benefits of tenants living in social housing by 14 per cent if they have one spare bedroom, and 25 per cent if they have two.

It was introduced by the coalition government to encourage social housing tenants to downscale their housing size when their need became less.

A freedom of information request has revealed 1,500 families in council homes are affected and 505 house association tenants yet only 10 one or two bedroom properties are available.

National Housing Federation figures released last month show 855 people would be affected in Tooting alone.

Sadiq Khan MP for Tooting, said: "These shocking figures show that 95 per cent of people hit by the Bedroom Tax in Wandsworth will have nowhere to move to.

"These families will have no choice to pay the penalty and have their Housing Benefit deducted by way of a bedroom tax."

But Wandsworth Council clarified the number of free properties changes on a daily basis, with about 1,000 properties becoming available during the past year.

Labour Councillor Rex Osborn, opposition leader, said: "A significant proportion of the homes hit by the tax are occupied by someone with a disability, or by servicemen or foster families. These are families who have every right to a bit of extra space.

"This policy is a thoughtless mess, and the Wandsworth Conservatives must take urgent action to ensure that no families in our borough end up on the streets as a result of it."

A spokesman for Wandsworth council said: "Over the past 12 months alone more than 1,000 one or two bedroom properties became available.

"We have contacted all of our tenants affected by the subsidy change, 73 per cent of those who responded said they would not want or need to move.

"In addition, 300 households have indicated that their circumstances have changed and they are no longer under-occupying.

"To enable families to cope with the changes, we also have a Discretionary Housing Fund of almost £2m to support particularly vulnerable households who may be affected by the welfare benefit changes.

"We are also encouraging people to use our mutual exchange scheme - enabling over-crowded families to swap homes with people who have too much space."