A reciprocally moving apparatus used in a massage machine comprises a long driven shaft having two ends pivotably installed in a base plate and also inserted into a sleeve hole at the lower side of a bottom mount of a massage device. The center section of the driven shaft includes a clockwise helical trench and a counter-clockwise helical trench which are arranged along a surface of the driven shaft and are crossed over one another alternatively and the ends of the two trenches are connected. The upper side of the center section area of the bottom mount serves for installing a cylindrical active link block having a guide plate. The guide plate has two tips at the upper side and inserts into one of the two tracks. Therefore, the driven shaft can be driven to move along the trenches reciprocally.