The flights will carry passengers from New York and Bangkok and are funded by El Al and American donors.
In the past days, Israel has ordered an unprecedented level of military reservists to report for duty, calling up over 300,000 combat soldiers - more than twice the size of the British Army.
British Airways cancelled all its flights to Israel after a plane was diverted from Ben Gurion and returned to Heathrow yesterday. The airline said in a statement: "Safety is always our highest priority and following the latest assessment of the situation we're suspending our flights to and from Tel Aviv.
"We’re contacting customers booked to travel to or from Tel Aviv to apologise and offer options including a full refund and rebooking with another airline or with British Airways at a later date. We continue to monitor the situation in the region closely."
