More than 100 Unite union members employed at Stansted by ABM had been due to walk out over 17-20 April in a dispute over pay.
However, the action was postponed late on Thursday to allow the workers – who look after passengers with assistance needs – to vote on a new pay offer.
It follows negotiations between ABM, Unite and mediator Acas.
Unite regional officer Steve Edwards said: “After a new offer has been put forward to members, we have decided to stop strike action to allow them to have their say.”