The invention relates to a continuous translational pressing rolling machine and a pressing rolling method thereof. The continuous translational pressing rolling machine comprises an upper roller anda lower roller which are horizontally arranged, wherein a first rolling groove is formed in the lower surface of the upper roller, and a second rolling groove is formed in the upper surface of the lower roller; the first rolling groove and the second rolling groove are both in a wave shape; the upper roller is capable of horizontally reciprocating relative to the lower roller, and the first rolling groove can be engaged with the second rolling groove in the initial position. According to the machine, the upper roller and the lower roller which are provided with opposite rolling grooves are arranged at an interval which is equal to a wave tooth; after assembling, the wave crest is opposite to the wave trough; the upper roller horizontally reciprocates at certain speed; a blank is tangentially sheared between the upper roller and the lower roller while pressing stress is applied to the blank; a deforming body easily enters a plastic deformation state through the pressing stress and the shearing stress, and meanwhile, the deformation load can be reduced, so that the material can be easily plastically deformed, and some micro defects in the blank can be removed; workpieces can be continuously processed, and the processing accuracy is high.