An acceleration and deceleration device includes: a chain 19 that is endlessly guided along a predetermined first track; a U-shaped member 40 of which a terminal end portion is attached to the chain 19 so as to be swingable and a part from an intermediate portion to a front end portion is formed as two parallel members and which has a long and narrow U-shaped groove between the parallel members; and a subject moving body 102 that has a driving shaft sliding inside the U-shaped groove of the U-shaped member 40, wherein the driving shaft of the subject moving body 102 is rotatable with respect to the U-shaped member 40 within a predetermined range in the U-shaped groove of the U-shaped member 40 and the driving shaft of the subject moving body is slidable with respect to the U-shaped member in the U-shaped groove of the U-shaped member 40.