An anti-rolling structure for a double headed piston of a disc cam type reciprocative compressor, comprising a cylinder block (1) through which a plurality of pairs of front and rear cylinder bores (4) are provided in parallel to a drive shaft (3) rotatably secured in the center of the cylinder block (1), and a double headed piston (8) slidably inserted in the respective pair of cylinder bores (4) for reciprocation in the longitudinal direction. A disc cam (13) having opposite sinuous surfaces (13') and rotatably accommodated within a cam chamber (5) is fixedly secured to the drive shaft (3), and a pair of front and rear cam rollers (14F, 14R) are arranged between the disc cam (13) and the piston (8) in a slidable and rotatable manner so as to nip the disc cam (13) between both cam rollers (14F, 14R) to transmit the rotation of the disc cam (13) to the piston (8) as a reciprocation in the longitudinal direction thereof. The front and rear cam rollers (14F, 14R) are positioned so that the axes of rotation thereof are not included in the center plane defined by longitudinal axes of the piston (8) and the disc cam (13) but disposed, respectively, in the opposite areas sectioned by the center plane with a substantially equal deviation from each other from the center plane. According to the above structure, the rolling motion of the piston (8) can be effectively restricted throughout the operation of the compressor.