Mr Barber said a 20-metre cordon was set up around the whale because he was told at the scene that its “blood can be quite toxic”.
Cornwall Council said it was working with police, coastguard and lifeboat crews to coordinate the removal of the whale.
It described the operation as “incredibly challenging and difficult”, and required specialist machinery.
“A cordon will remain in place around the whale while it remains on the beach, and the public are asked to stay away from the area”, the council added.