BAA and the Unite union are to hold talks on Monday in an attempt to avoid planned strikes.
Unite said on Thursday its members at BAA, owned by Spanish group Ferrovial, had voted three-to-one in favour of industrial action in a dispute over pay.
The walkout, which includes security guards, firemen and engineers, is likely to close BAA’s six British airports, which include London’s Heathrow and Stansted, disrupting the travel plans of thousands of holidaymakers.
“Talks between BAA and Unite will take place under the auspices of Acas at midday on Monday 16 August,” said Acas chief conciliator Peter Harwood.
Unite’s officials are also due to meet on August 16 to decide the dates of any walk-outs. The union has to give seven days’ notice of planned industrial action.