Abstract: In a pneumatic vibration isolator that includes a housing, an upper part with a first cylindrical side wall and a lower part with a second cylindrical side wall, a pneumatic spring is disposed in an annular gap between the first and the second cylindrical side wall and which opposes radially directed relative movements between the upper part and the lower part and a bearing in axial direction between the upper part and the lower part which permits relative movements of the upper part and the lower part in radial direction such that the stiffness and or the damping of the pneumatic spring are controlled or changed from the outside by means of a pressure control or respectively an adjustable throttle that are part of a pneumatic line system connected to the pneumatic spring.