Claimants in the London boroughs of Haringey, Enfield, Croydon and Bromley are the first to face a cap on their benefits.
Employment minister Mark Hoban said it was "only fair that those who are on benefit face the same choices" as those in work.
But shadow minister for disabled people Anne McGuire highlighted the "major issue of imposing that level of benefit cap in London, where the biggest factor in benefits is actually the high rents."
Political correspondent Libby Weiner reports:
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Michael Haines said he wanted to continue his brother's legacy so he would be remembered for his good work rather than his death.
Tomorrow should be a bit quieter in most places, with lighter winds and some lovely winter sunshine.
There will be a widespread frost and ice to watch out for tonight, with some bitterly cold temperatures too.