Abstract: Disclosed is a mowing apparatus, which includes a motive power source, first and second cutting wheels slidably superposed with each other and provided with a number of grass cutting edges, and mechanism for reciprocatively rotating each cutting wheel in opposite directions through a predetermined angle. The rotating mechanism includes a first shaft coupled to the first wheel, a cylindrical-shaped second shaft into which the first shaft is rotatably and coaxially inserted and coupled to the second wheel, and converting mechanism provided between the power source and the first and second shafts for converting the rotational motion from the power source into two oppositely and reciprocatively rotational motions of the first and second shaft within the predetermined angle.