According to data on the website of the Joint Organizations Data Initiative (JODI), Saudi Arabia's oil exports increased to 7.37 million barrels a day in June from 6.94 million barrels in May.
Oil production climbed to 10.564 million barrels daily from 10.3 million, exceeding a previous all-time high set in 1980.
Oil refineries used 2.1 million barrels a day in June, down from 2.4 million barrels in May.
Saudi Arabia is the world's biggest oil producer and exporter.