A spokeswoman for airports operator BAA said:
We welcome the decision by the PCS to call off tomorrow's strike.
So far passengers arriving for the Olympics have had a smooth journey through Heathrow and it is great news that those arriving tomorrow can also expect a warm welcome to London and the Games.
Home Office job adverts would appear to show that unions 'won' the dispute, but Damian Green denies there are any new jobs.
The Public and Commercial Services Union (PCS) has cancelled plans to strike tomorrow - the day before the Olympic Opening Ceremony.
The Government is considering court action to prevent a planned strike by Border Agency staff on the eve of the Olympics.