Abstract: The invention relates to a method of pressing fruit, in particular grapes, in a rotary cylindrical drum containing at least one flexible membrane supplied with a fluid under pressure in order to press fruit against the wall of the drum, and also to a pneumatic press for implementing the method. The pneumatic press of the invention is of the type comprising a rotary cylindrical drum (7) containing at least one flexible membrane (9, 35) and is characterized by the fact that said drum (7) is closed at one end (7), with a loading duct (19) opening out into the drum (7) in the vicinity of its closed end, the end of the drum opposite to its closed end (7) being at least partially open, said drum (7) including means (16) for recovering juice. The invention is particularly applicable to pressing grapes.