Arrivals will be banned and landings will be permitted only in a few exceptions including cargo flights, medical emergencies, and fire service flights.
The latest figure released on Saturday marked a new record of patients in serious condition since the pandemic outbreak in the country in late February, Xinhua news agency reported.
Israel and Syria, neighbours still technically at war, have a border along the Golan Heights, which the Jewish State has occupied since the 1967 Six Day War.
Israel had claimed in August that it already has the vaccine against the coronavirus "in hand" but it has to go through regulatory processes that would begin with human trials following the autumn holidays.
The United Arab Emirates and Bahrain became the third and fourth Arab states to agree to normalise ties with Israel, following Egypt's peace deal with Israel in 1979 and a 1994 pact with Jordan.