Boeing said the FAA has told the USA -based aircraft manufacturer it must install safety-related software updates to the 737 Max 8s.
"During the temporary suspension, CAAS will gather more information and review the safety risk associated with the continued operation of the Boeing 737 MAX aircraft into and out of Singapore", it said. "Our pilots regularly train in Boeing 737 simulators, approved for various 737 aircraft including the 737 Max 8".
It was the second crash of the 737 MAX 8, the latest version of Boeing's workhorse narrow body jet that first entered service in 2017.
Kebebew Legess said she was the mother of a young Ethiopian Airlines crew member among the dead.
Another Indian airline, Spicejet which has 12 Boeing 737 Max aircraft in its inventory did not take a call about whether it will also follow Jet Airways and ground the aircraft.
Norwegian has over 110 Boeing 737-800 planes that are not affected by the decision.
Five 737 Max aircraft are now registered and operational in the United Kingdom, while a sixth was planned to become active later this week. It was of the same type as a plane that crashed in October after takeoff from Jakarta, killing all 189 people on board.
An eyewitness told AFP the plane came down in flames. They all died in the plane crash.
A Boeing representative told Business Insider in an email earlier this week that a Boeing technical team would be traveling to the crash site in Ethiopia to provide technical assistance with the investigation. "The other nationalities had one or two passengers on board", he said. Britain has joined a growing number of countries grounding the aircraft after two deadly crashes in recent weeks.
Southwest Airlines which flies 34 Max 8s, said the carrier remains confident about the plane's safety.