The present invention relates to a log splitting apparatus that can be mounted to a tractor. The log splitting apparatus of the present invention includes an elongated beam. Secured on one end of the elongated beam is a wedge assembly. Movably mounted on the beam is a log pusher that normally assumes a position spaced from said wedge assembly. The pusher is operatively connected to at least one hydraulic cylinder that is anchored to said beam. To split a log, the log is placed between the log pusher and wedge assembly. After that, the hydraulic cylinder may be actuated causing the pusher to engage and push a log portion into and through said wedge assembly resulting in a log portion being split.