The RMT rail union yesterday called the walkout from 8pm on July 18 with services unlikely to get back to normal until around lunchtime the following day.
The stoppage by station staff, signal workers and some train drivers was called over the government's part-privatisation plans.
London Underground management claimed the dispute was politically motivated but Bob Crow, RMT general secretary, said staff feared safety would be compromised when private contractors take over the maintenance and mod ernisation of lines and stations. "They have left us with no alternative but to strike," he said.
Tube staff in the RMT voted eight to one to walk out, though less than half the 7,800 workers involved returned papers in the postal ballot.
The tube stoppage will follow a strike by up to 1.3 million local authority workers in Britain on the same Wednesday, disrupting council services, shutting schools and swimming pools as well as leaving bins unemptied.
But a three day petrol tanker drivers' strike was called off last night after P&O raised a 2.5% offer to 4.5% in an effort to avert industrial action.
The offer will now go to ballot with a T&G transport workers' union recommendation to accept.