The present invention discloses a special hydraulic press for bulging pressing forming of an automobile axle housing and a pressing forming method. A hydraulic press body is a closed frame consisting of an upper cross beam, a lower cross beam, four stand columns I, II, III, and IV, four vertical pull rods I, II, III, and IV, and four transverse pull rods I, II, III, and IV, and is used for balancing a deformation force up to 3000 T in the vertical direction or the horizontal direction in the pressing forming process. During pressing forming, the downward speeds of a main hydraulic cylinder, small left and right vertical hydraulic cylinders are precisely controlled to prevent the left end, the right end and the middle of the tube blank from bending.