British Airways has stopped selling tickets on short-haul flights from the airport until August 8 due to the ongoing air travel disruptions.
Over the summer, the UK's largest airport imposed a cap on the number of passengers.
The flights will be affected by the sales suspension.
Thousands of air travellers have been disrupted recently.
Demand for holidays has returned, making it hard for airports and airlines to find enough staff.
The rebound in air travel has led to problems with baggage handling at the airport, which has caused huge delays.
Heathrow told airlines to stop selling summer tickets as it said it would limit the number of passengers departing each day to 100,000.
The cap on numbers will stay in place until September.
The limit affects BA more than other airlines.
As a result of Heathrow's request to limit new bookings, we've decided to take responsible action and limit the available fares on some services to help maximize rebooking options for existing customers.
In response to staffing problems, British Airways has reduced the number of flights from April to October.
The owner of British Airways, IAG, reported its first profit since the beginning of the Covid epidemic on Friday.
Between April and June, British Airways had to limit its capacity to 69.1% of pre-pandemic levels, and this was expected to increase to 75% between July and October.
The row broke out last week after the airline said airports had not recruited enough staff to cater for the rebound in travellers.
Heathrow described the criticism asbizarre.
Airlines provide ground handling at airports. John Holland- Kaye said this was like accusing them of not having enough pilots.