To provide an amphibious traveling apparatus capable of running on water and mud ground formed of fluidal soil and sand and simultaneously and arbitrarily controlling all of three degrees of freedom comprising longitudinal movement, lateral movement, and rotating.

A pair of right and left wheels 12a, 12b, 13a, and 13b commonly used as buoyancy bodies having buoyancies for floating a vehicle body to a height where the vehicle body does not come into contact with a water level or a mud ground level when the apparatus runs on water or mud ground are installed at the front and rear parts of the vehicle body 1. The wheels are rotatingly driven in normal and reverse directions independently of each other. Screw-like tilted fins 15a to 15d individually producing a vector in a specified direction by floating on water or mud ground and rotating are installed on the outer peripheries of the wheels. The rotating directions and rotating speeds of the wheels are adjusted independently of each other.