A device for maintaining and changing the pressure in a is provided whereby the inner pressure space of the tire is connected through a pump to a pressure accumulator which, at its input and/or output into the inner pressure space of the tire, is fitted with at least one pressure control element. The pump can be a peristaltic pump in the shape of a deformable hose placed on the perimeter of the tire, fitted with an air inlet and an air outlet, while the air inlet and the air outlet are positioned on the perimeter of the tire distant from each other by a preset length, dependent on the deformation of the tire.