The invention relates to the field of filter membrane packaging, in particular to a filter membrane packaging device. The filter membrane packaging device comprises an enclosure and a moving unit. Themoving unit is arranged inside the enclosure and further comprises a radial tightening unit and an axial moving unit. The radial tightening unit comprises a radial driving motor, a gear transmissionmechanism, a plurality of pressing claws, a rotating disk and a fixed disk. The gear transmission mechanism comprises a gear and a local gear which is located on the periphery of the outer side of therotating disk. The gears are engaged with each other. The gear is fixedly connected with an output shaft of the radial driving motor. The fixed disk is arranged in a center hole of the rotating diskand is further fixed to the top of the axial moving unit. The multiple pressing claws are arranged in the circumferential direction of the rotating disk. One end of each pressing claw is in a long barshape. One end of each long-bar-shaped pressing claw is in sliding connection with the rotating disk, and the other end of each long-bar-shaped pressing claw is hinged to the fixed disk. The other ends of the pressing claws are provided with arc-shaped claws and further located above the fixed disk, and the outer side faces of the arc-shaped claws are attached to the adjacent pressing claws. By means of the filter membrane packaging device, automatic packaging of packaged pieces is realized, operation is easy, the packaging efficiency and packaging precision are high.