Members from the Campaign For Nuclear Disarmament (CND) are considering setting up a permanent camp outside an airbase in Suffolk.
Campaigners believe the flights are carrying bombs
Campaigners have staged demonstrations outside RAF Mildenhall against the refuelling of US flights to Israel.
The protesters have said the planes are carrying bombs.
The Foreign Office (FO) said on Tuesday that, in future, the planes will be allowed to land only at military airfields in the UK.
The flights were diverted to RAF Mildenhall to avoid protesters at Prestwick Airport in Scotland.
A number of flights arrived at Mildenhall over the weekend.
CND activist Peter Lanyon said he believed bombs were being carried.
He said: "We utterly condemn all weapons transports to the Middle East at this time.
"They are contributing to the worsening of this tragic humanitarian crisis."