Ethiopian Airlines offered relatives of 1
Earth from the crash site was made available for a planned service in Addis Ababa on Sunday, reports Reuters.
Families said it can take up to six months to identify the lips.
Countries around the world are pushing 737 Max 8 and 9 aircraft after flight 302 that crashed on March 10
The Ethiopian transport ministry said on Saturday that it might take a "big time" to to investigators to find the cause of a crash involving a new plane.
"The investigation of such magnitude requires careful study and more time to come up with something concrete," Dagmawit Moges said in a press conference.
Relatives of passengers who died in the incident are encouraged to provide DNA samples either at Addis Ababa or at any overseas office of Ethiopian Airlines.
Death certificates are expected to be delivered within two weeks.
Families mourning victims are offered a 1kg (2.2lbs) bag of charred land to bury as part of the Sunday service in the Ethiopian capital, AP news agency reports.
"The earth came because it is impossible to recognize the bodies and give lips to family members," a family member was reported to have said: "We will not rest until we give the true part of the body or bodies of our loved ones. "
Passengers from more than 30 countries are on board Ethiopian Airlines flights from Addis Ababa to Nairobi.
Ethiopian investigations on crashes are being assisted by teams from around the world, including the US and France.  Flight data flight recorder (FDR) and the cockpit voice recorder (CVR), or black boxes because they are often called, recovered and the investigators expect that they will give light to tragedy.