The invention discloses a multi-point positioning device which comprises a base, a worktable and clamping claws, wherein the worktable is used for placing workpieces and is installed on the base. The device further comprises a machine frame installed on the base, the machine frame is arranged on the two sides of the worktable, the clamping claws comprises the first clamping claw and the second clamping claw which are hinged to the machine frame, the first clamping claw is located above the second clamping claw and is provided with an installation hole, an adjusting bolt is arranged in the installation hole, the lower end of the adjusting bolt can abut against the second clamping claw, the end, close to the workpieces, of the first clamping claw is provided with a chuck through a hinge bolt, the screw rod section of the hinge bolt comprises a threaded section and a smooth section, and a compressed spring is located between the second clamping claw and the base. The curve surface workpieces are clamped through the chuck of the first clamping claw and a chuck of the second clamping claw, the first clamping claw and the second clamping claw are in linkage, the clamping claws can perform multi-point clamping on the workpieces through the adjusting bolt and the chucks, and when the workpieces of the same type are clamped, people do not need to drive the clamping claws respectively to clamp and loosen the workpeices.