The death of a man in hospital from Crimean-Congo haemorrhagic fever is the first laboratory-confirmed case of the disease in the UK, according to the Health Protection Agency.
Other passengers who sat close to him on an aircraft are undergoing daily health checks.
"Crimean-Congo haemorrhagic fever can be acquired from an infected patient only through direct contact with their blood or body fluids, therefore there is no risk to the general public," the Royal Free London NHS Foundation Trust said.
The man, 38, was diagnosed when he returned to Glasgow on a flight from Kabul, Afghanistan, on Tuesday. He had flown into Scotland on a connecting flight from Dubai.
CCHF is especially common in east and west Africa. It is fatal in about 30% of human cases.