In the wake of the tragedy, which followed the similar deadly crash of Boeing 737 MAX in Indonesia in late October, aviation authorities and airlines around the world have either grounded their 737 MAX 8 series aircraft or closed their airspace to them.
Death certificates are expected to be issued in two weeks.
Similarities between the flight path in the Lion Air incident and last week's Ethiopian Airlines crash have raised fresh questions about the system, but so far there is no evidence on whether the same software is again a potential issue.
Ethiopian Minster of Transport Dagmawit Moges said it will likely take five to six months to complete the identification, but DNA samples were already being collected from the relatives of victims to aid in the process.
Earth from the crash site is being made available for a planned service in Addis Ababa on Sunday, Reuters reports.
Boeing Co. suspended deliveries of the 737 Max planes and has not said when it will be able to address regulators' concerns with the planes.
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Countries across the world grounded the 737 Max 8 and 9 aircraft after flight 302 crashed on 10 March.
The civil aviation safety agency noted that the work on the flight data recorder would resume the following day. Acting Federal Aviation Administration (FAA) administrator Daniel Elwell has said he does not know how long the United States grounding will last.
Both planes flew with erratic altitude changes that could indicate the pilots struggled to control the aircraft.
Speaking in a "panicky voice", the doomed aircraft's captain requested permission to return to the airport nearly immediately after takeoff as the plane "accelerated to abnormal speed", the newspaper reported Thursday, citing a person who had reviewed the air traffic communications.
According to the flight data recorder, the pilots of Lion Air Flight 610 struggled to control the aircraft as the MCAS repeatedly pushed the nose down after takeoff.
Montreal-based Air Canada has said it operated 75 737 MAX flights daily out of a total schedule of approximately 1,600 daily flights system-wide.
Boeing plans to release upgraded software for its 737 Max in a week to 10 days, sources familiar with the matter said. "And I would put it on the airlines at this juncture to have better trained and better explained to the pilots get them the training they need so that this problem didn't occur again".