Disclosed is a support fork translation stacking manipulator which relates to a stacking manipulator. The invention solves the problem of bad stacking effect of the material bag which is very flexible and has the material with good liquidity inside the material bag found in the manipulator used by the stacking robot in the prior art. Two linear bearings (8) of the stacking manipulator are respectively mounted on the lower end surfaces of the front cross beam (2-1) and the back cross beam (2-2) of a frame (2); both ends of a support fork cylinder (12) are respectively mounted on the lower end surfaces of the left stringer (2-6) and the right stringer (2-7) of the frame (2); the cylinder rod of the support fork cylinder (12) is connected with a joint (11); a support fork (5) is mounted on the lower end surface of the transverse plate (10-2) of a support (10); two air cylinders (6) with guide rods are respectively mounted on the inner end surfaces of the front cross beam (2-1) and the back cross beam (2-2) of the frame (2); two pressing plates (4) are respectively mounted on the lower end surface of a guide rod (6-1); a retaining plate (7) is mounted on the lower end surfaces of two middle cross beams (2-3). The support fork translation stacking manipulator has good stacking effect on the material bags which are very flexible and have the materials with good fluidity inside the material bags; the operation of the support fork translation stacking manipulator is stable.