The group plans to increase output by 350,000 bpd in May and June and will add 450,000 bpd in July.
Saudi Arabia, which had supported the group's restrictions by volunteering to cut 1 million bpd until April, will phase out the curbs from May onwards.
Riyadh will cut 250,000 bpd in May, 350,000 bpd in June and 400,000 bpd in July.
Opec+ delayed a ministerial meeting of producers set for today to June 1 and urged producers to remain "vigilant and flexible" amid uncertain market conditions.
"The decision to hold will provide some relief to markets in the form of stable volumes rather than the surprise production decisions that Opec+ has endorsed several times this year," said Edward Bell, senior director, market economic at Emirates NBD.