EasyJet has extended the suspension of flights to Tel Aviv until Friday and is warning of longer-term disruption.
It is advising passengers due to travel to Tel Aviv up until October 21 to keep checking the status of flights before travelling to the airport.
Other airlines have cancelled flights or adjusted schedules, and have relaxed their cancellation policies due to the evolving situation in Israel.
American Airlines has suspended all flights to Tel Aviv until December 4, while Delta Air Lines has stopped services until at least the end of October.
EL AL Airlines is operating its flights as scheduled but told passengers there might be a change in departure time for some services.
It also confirmed that on the instructions of the Israeli security forces, flights departing from Ben Gurion Airport will now depart from Terminal 3 only, including flights which originally planned to depart from Terminal 1.
British Airways said its flights are currently continuing to operate but it was closely monitoring the situation.
Virgin Atlantic has cancelled half its London-Tel Aviv schedule until October 28.
UK residents in Israel and the Occupied Palestinian Territories, including Gaza, are being advised to register their presence with the Foreign, Commonwealth & Development Office (FCDO).
“The FCDO continues to advise against travel to parts of Israel and the Occupied Palestinian Territories, and to advise against all but essential travel to all other parts, including the Rafah crossing into Egypt,” the latest travel advice said.
FCDO also continues to advise against all travel to some parts of Lebanon, including the areas south of the Litani River, and advises against all but essential travel to the rest of the country.
“The Israeli government has declared a state of emergency across the whole country. International borders (air and land) in Israel and the Occupied Palestinian Territories (OPTs) could close at short notice,” says the travel advice.
“If you are a British national in Gaza and want to leave, check the status of the Rafah crossing into Egypt before you travel. Movement to the Rafah crossing and beyond is at your own risk. You should only travel if you judge it is safe to do so.”