All Chinese airlines have been ordered to ground their Max 8 aircraft and a Caribbean operator has suspended operations on its own.
It comes after 157 people were killed when Ethiopian Airlines flight ET302 crashed six minutes after taking off from Addis Ababa on Sunday morning.
Though the cause of the tragedy is yet to be determined Ethiopian Airlines has also grounded its remaining Max 8 aircraft.
Ethiopian Airlines plane crash
"Although we don't yet know the cause of the crash, we had to decide to ground the particular fleet as extra safety precaution," the airline said.
Its chief executive, Tewolde Gebremariam, said the operator was "one of the safest" in the world, adding: "At this stage we cannot rule out anything."
Ethiopian Airlines said it had contacted the families of all victims, who came from 35 nations.
Boeing chief executive Dennis previously said the firm is providing "technical assistance" to Ethiopian government and regulatory authorities in their investigation.
The Boeing 737 Max 8 is the latest version of the best-selling commercial jet in history and is operated by scores of airlines around the world.
The Federal Aviation Administration (FAA), in the US, said it was "closely monitoring developments" following the incident.
The European Aviation Safety Agency which currently issues directives for the UK's Civil Aviation Authority is yet to comment.
The crash shared similarities with last year's Lion Air jet plunging into the Java Sea, which killed 189 people and also involved a Boeing 737 Max 8 crashing minutes after takeoff.
Indonesia's national transport safety agency said it is ready to assist Ethiopian authorities with their probe.
The Foreign Office confirmed that at least seven Britons were on board the Nairobi-bound aircraft involved in Sunday's incident, which crashed in Ethiopia at about 8.45am local time killing all on board.
As least 19 UN workers were killed in the crash, the organisation said, the number being so high because of its environmental forum due to start on Monday.
The Max 8 is one of four varieties of 737 Max aircraft produced by the US aerospace giant and Boeing says it has taken more than 4,700 orders for the single-aisle family of planes which can carry up to 230 passengers.
Holiday operator Tui Airways has ordered 32 Max aircraft as part of a major fleet overhaul and took delivery of its first Max 8 in December.
Tui was the first UK-registered airline to receive one of the new Boeing aircraft, planning to roll out its orders over the next five years.
The carrier's German parent company is reported to have bought 54 Max 8s.
Other airlines in Europe to use the Max aircraft include Air Italy, Lot Polish Airlines and Norwegian.
