"Qatar has decided to withdraw its membership from OPEC effective January 2019," Kaabi said at a Doha press conference.
He added that Qatar would still continue to produce oil but would concentrate on gas production, where it is the biggest exporter of liquified natural gas in the world.
"We don't have great potential [in oil], we are very realistic. Our potential is gas."
Kaabi said that OPEC, which Qatar joined in 1961, was told of the decision on Monday ahead of the announcement.
The organisation is dominated by oil-rich Saudi Arabia, which since June 2017 has led a bloc of countries in imposing a blockade on Qatar.