Abstract: An involute, non-ring, continuous teeth, spherical gear transmission mechanism includes a female and a male spherical gear to form a three degree-of-freedoms deputy campaign. And its design regularity is the same as that of common one degree-of-freedom gear, which is involute tooth profile for continuous engagement, therefore such spherical gears have the same transmission features as common one degree-of-freedom gear, like fixed transmission ratio and efficiency. This invention (utility) of involute non-ring continuous teeth spherical gear transmission mechanism solve problems that distributed-teeth spherical gear cannot provide accurate fixed ratio transmission and that spherical involute gear can only provide 2 degree of freedoms. It provides a better condition of spherical gear mechanism for wide use in practical engineering applications.