Heathrow says strike action scheduled for August 23 and 24 has been postponed.
A spokesperson for the airport said the decision had been made to allow union members time to consider its revised pay offer.
The Unite union had warned of summer travel chaos with walkouts scheduled on a number of days during the peak season.
Unite said a ballot over the new offer for 4,000 airport staff was under way.
That ballot will close on September 2.