Members of GMB and Unite have supported industrial activism.
Unions say holidaymakers face disruption, warning of a summer of strikes.
Workers, including check-in workers, will now decide on the date of the strike, which the union says will likely be held during the peak summer break.
Nadine Houghton, country officer for GMB, said: “With grim predictability, holidaymakers face massive disruption due to British Airways’ pighead.
“BA has tried to offer our members table crumbs in the form of a one-time 10% bonus payment, but this has not dented profits.
“Our members need to recover the 10% they stole from last year with full refund and 10% bonus that other colleagues were paid.
It’s not too late to save for summer vacation – other BA employees have had their pay cut
“GMB members at Heathrow have endured untold abuse as they face travel chaos due to staff shortages and IT failures.
“At the same time, they had their pay cut during the BA policy of callous re-opening and firing.
“What did BA think would happen?
“It’s not too late to save for the summer holidays – other BA workers have had their pay cut.
“Do the same for ground and check-in staff and this industrial action can be taken from the ground up.”
Strike action will only add to the misery passengers face at airports
Oliver Richardson, Unite’s national aviation official, said: “The problems British Airways is facing are entirely self-made.
“It cuts jobs and wages brutally during the pandemic even though the Government is paying them to save jobs.
“In this case of dispute, they insulted this workforce, taking a 10% pay cut just to reinstate the managers, not our members.
“BA is treating its loyal workforce like second-class citizens and they won’t suffer any longer.
“Strike action is certain to cause severe disruption to BA services at Heathrow.
“The company has a brief opportunity to restore wages to our members before the strikes were introduced. I urge BA not to squander that opportunity.”
Downing Street said the strike action would make passengers “more miserable” at airports and called on BA to put in place contingency measures.
A No 10 spokesman said: “This is clearly an issue for British Airways and the unions and we strongly encourage both of them to come together to find a solution.
“We do not want to see further passenger disruption and strike action will only add to passenger misery at airports.
“DfT (Department of Transport) will obviously be working closely to look at the contingency measures BA can put in place and we expect BA to put in place contingency measures to ensure that there is little to no harm. incidents and passengers may experience disruption. get a refund”.
GMB members voted 91% in favor of industrial action while Unite said 94% of members were in favor of action.
A BA statement said: “We are extremely disappointed with the outcome and the unions have chosen to take this action.
“Despite an extremely challenging environment and losses of more than £4 billion, we made our offer of 10% payout and were accepted by the majority of our colleagues.
“We are fully committed to working together to find a solution, because to deliver to our customers and rebuild our business, we have to work as a team.
“We will, of course, keep our customers updated on what this means for them as the situation evolves.”