"Rebalancing is continuing...all factors are positive and we are capable of achieving a balance" by end 2018, Mazrouei told CNBC Arabia television.
The minister, who is OPEC president for 2018, said he expected "healthy growth in oil demand" this year as strong economic expansion across the globe continues.
He said that oil stocks have continued to decline, but insisted that "we still have another 100 million barrels left that we intend to reduce."
Producers have hailed the cut of 1.8 million barrels per day as a major boost for crude markets and say implementation is at 122 percent.
Mazrouei said that it is important for OPEC and non-OPEC producers to continue their compliance to the deal that was first struck in 2016.
The number of producers who have joined the deal has climbed to 30 countries from 24 originally, he said.
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