The invention provides a pneumatic non-spherical processing clamp with an adjustable inclination angle, which relates to a clamp. The pneumatic non-spherical processing clamp with an adjustable inclination angle, which is provided by the invention, has the characteristics of simple mechanical structure, good use expansibility, high positioning accuracy, good mechanism rigidity, strong self-locking capacity, convenient use and the like. The clamp is provided with a rotary platform, a base, a base cylinder seat, a base cylinder, a swinging rod, a swinging rod fixing seat, an intermediate platform, an intermediate platform cylinder, an intermediate platform hinge, an intermediate platform dust cover, an intermediate platform rotary shaft, an intermediate platform shaft seat, an intermediate platform cylinder seat, a working platform, a working platform cylinder seat, a working platform cylinder, a working platform hinge, a working platform dust cover, a working platform rotary shaft and a working platform shaft seat. The cylinders enable the workbench to incline for a certain angle by controlling the strokes of respective pistons, and a circular grating can be used for realizing fully closed-loop feedback and obtaining an accurate inclination angle, thereby providing the required clamping angle for processing non-spherical surfaces and especially wedge-shaped non-spherical surface workpieces.