It comes after six days of violence following the surprise attack on Israel by Hamas.
The aircraft will begin patrols on Friday to "track threats to regional stability such as the transfer of weapons to terrorist groups".
Three Merlin helicopters and Royal Marines are also being dispatched.
The government is also arranging flights for British nationals stranded in Israel. The first plane was expected to leave Tel Aviv on Thursday, but as of Friday morning it had not yet left.
A Foreign Office spokesperson said the situation around departure was "fluid", and it was "currently working to ensure the flight can proceed as soon as possible".
Rishi Sunak spoke to Israel's prime minister on Thursday to reaffirm the UK's support.
His call to Benjamin Netanyahu was meant to "reaffirm the UK's steadfast support for Israel following Hamas' appalling terrorist attack", Downing Street said. READ MORE
