But no improvement yet
The rate of decline in business class bookings is slowing Lufthansa said.
But Karl-Rudolf Rupprecht, its hub manager at Frankfurt Airport, said there was no sign of any improvement in reservations yet.
He told Reuters that customers were still switching to economy class.
His remarks come after the International Air Transport Association (IATA), a world airlines body, also reported that there was "some stabilisation" in the fall in demand for business class tickets.
It said the drop in premium passengers eased slightly in June to 21.3%, compared with a fall of 23.6% in May.