Balpa’s British Airways members have called off their planned strike action next Friday (27 September).
The pilots union said it had become incumbent on its members rather than BA to “take the initiative” and pursue a resolution.
Balpa has been in dispute with BA for several months over pay and conditions.
The union says BA is failing to adequately reward its BA members for their role in helping deliver record profits for BA and owner IAG.
It follows a two-day strike over 9-10 September, the first by BA pilots for 40 years, which Balpa said demonstrated “the anger and resolve” of BA’s pilots.
“It was now time for a period of reflection before the dispute escalates further and irreparable damage is done to the brand,” said Balpa.
The union added it hoped the truce would encourage BA to “negotiate seriously” with a view to resolving the dispute.
General secretary Brian Strutton said: “Someone has to take the initiative to sort out this dispute, and with no sign of that from BA, the pilots have decided to take the responsible course.
“In a genuine attempt at establishing a time out for common sense to prevail, we have lifted the threat of the strike on the 27 September.
“BA passengers rightly expect BA and its pilots to resolve their issues without disruption and now is the time for cool heads and pragmatism to be brought to bear. I hope BA and its owner IAG show as much responsibility as the pilots.”
Balpa has stressed that if BA refuses to engage in “meaningful new negotiations”, it retained the right to announce further strike action.
A BA spokesperson said: “We have just received this news. We are considering the implications and we will give updates in due course.”