"As the aircrafts' safety flight risks remain and are unable to be addressed in the short term, and because there is no evidence to prove the effectiveness of Boeing's proposed software updates, we thereby issue this airworthiness directive to ensure flight safety", it said.
"Rosaviatsia has issued a Notice to Airmen (NOTAM) stating that the flights of this type of aircraft [Boeing 737 MAX 8 and 9 - TASS] in Russian airspace are banned until further notice", he said.
Under global rules, Ethiopians are leading the investigation but France's BEA will conduct black box analysis as an adviser.
The contents of the flight data recorder and cockpit voice recorder that will be examined in France will provide critical details about what caused the plane crash, according to experts.
The airlines said they plan to cover for the grounded planes by using spare planes and, if needed, only cancel flights on routes with multiple daily flights so passengers can be rescheduled on a different flight the same day.
The investigation of the crash is still in its early stages and black boxes with details of the flight's final moments arrived in France on Thursday for analysis.
The Max is the latest upgrade to the Boeing 737, which has been flying since the late 1960s.
Analysts said the crash has added uncertainty for America's largest exporter over sales to China.
The Federal Aviation Administration, which ordered the planes grounded in the USA on Wednesday, said new satellite data and other evidence showed similar movements by the Ethiopian and Indonesian planes.
BREAKING NOW: Rockets Fired Towards Tel Aviv, Missiles Intercepted by Israeli Defenses
He is a New York Times bestselling author and hosts the popular weekend talk radio program, " Aaron Klein Investigative Radio ". A Hamas official told the The Times of Israel that the terror group "has no interest in an escalation" with Israel.
Meanwhile, Boeing stocks continue to slide on the United States stock market.
The fall in Boeing shares has made the stock's valuation less expensive but that may not make it an obvious buy for investors.
The French agency, based in the Paris suburb of Le Bourget, has extensive experience in investigating crashes and other incidents involving commercial flights.
To recover from a stall, a pilot would normally push the plane's nose down.
Evidence of a major potential order for more than 100 jets worth well over $10 billion at list prices had risen in recent weeks as Washington and Beijing reported some progress in trade talks to resolve a months-long trade war.
Vietnamese airliner VietJet Aviation recently announced that it's holding off on future Boeing purchases until the Ethiopian Airlines investigation is concluded. They are working very, very hard right now.
France's air accident investigation agency BEA will analyse black-box flight recorders from a Boeing 737 MAX 8 which crashed near Addis Ababa on Sunday, a spokesman said.
The Ethiopian Airlines plane was less than four months old when it went down six minutes into its flight to Nairobi.