"I am pleased that at the end of the day we reconciled around the one million figure that we have been talking about," said Khaled al-Faleh after a meeting of the Organization of the Petroleum Exporting Countries.
Support for the increase, which had been proposed by Saudi Arabia against objections from Iran, was unanimous, he said.
Saudi Arabia, backed by non-member Russia, has argued that it is time to raise production in order to meet growing demand and appease major consumer countries like the United States, India and China who have complained about a sustained increase in prices since output was cut back from January last year.
"I think it will contribute significantly to meet the extra demand that we see coming in the second half," the Saudi minister said.
The 24 nations in the supply-cut pact, known as OPEC+, agreed in late 2016 to trim production by 1.8 million barrels a day but they have actually been keeping some 2.8 million barrels per day off the market.
World oil prices, which had already stood higher earlier Friday, continued to rise after OPEC's decision, commodities traders reported.