The US regulator said a review showed "no systemic performance issues" with the aircraft.
An Ethiopian Airlines plane crashed on Sunday killing all 157 people on board, in the second fatal accident involving the 737 Max 8 model in five months.
Numerous countries have banned the plane from their airspace.
On Wednesday Hong Kong, Vietnam and New Zealand joined the list of countries that had banned 737 Max models.
The UK, China, the European Union and Australia had previously done so.
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