An axle driving apparatus of the invention is available for an economical vehicle having a belt type stepless transmission. The axle driving apparatus includes a pair of axles connected to respective drive wheels, a propelling transmission mechanism, and a steering transmission mechanism. The propelling transmission mechanism is drivingly connected to said prime mover through said belt type stepless transmission so as to transmit speed-variable output rotation of said belt type stepless transmission to both said axles, thereby rotating said axles together at various speeds in a common direction selected from two opposite directions for forward and backward traveling of said vehicle. The steering transmission mechanism is drivingly connected to said prime mover so as to transmit two oppositely directive output rotations to said respective axles, thereby differentially rotating said axles at various differences of rotational speed between said axles. If the belt type stepless transmission comprises first and second belts through a variator pulley and the second belt is looped over an input pulley of the propelling transmission mechanism, the first belt may be looped over an input pulley of the steering transmission mechanism. Alternatively, the first belt may be looped over a power taking-out pulley provided on an input shaft of the steering transmission mechanism.