Ryanair said its passenger numbers in August rose to 11.1 million from 7 million the same time last year as the EU Covid certificates stimulated a recovery in the travel industry.
The airline said its August load factor - how many seats it fills on each flight - rose to 82% from 73%.
It said it operated over 71,000 flights in August.
Earlier this week Ryanair's group chief executive Michael O'Leary nudged up the airline's passenger target for the autumn amid signs of a "very strong recovery" in European short-haul flights.
The airline, Europe's largest by passenger numbers, is expected to fly 10.5 million passengers per month in September, October and November, Michael O'Leary said.
That compares with a July forecast of an average of 10 million for each of those months.
"As long as there are no adverse Covid developments, things are set fair for a very strong recovery," Mr O'Leary said.
The CEO also said Ryanair was on target to exceed its 10.5 million passenger target for August.
He also said that capacity should return to pre-pandemic levels in October, saying he expected load factor numbers to be close to 90% in September.
But he said the airline was likely to fly with an average of 15%-20% empty seats on planes this winter compared with 7%-8% before the pandemic.