A new spherical gear mechanism is intruduced. Surface formule of the new mechanism is deduced. This paper first deduces the general formules of involute, and transfoming these formulas by rotation matraix, the surface formule of the new spherical gear has been found. Based on the theory of double degree freedom, the action formule of the two spherical gears is deduced, and futhermore, the surface formule of the conjugate teeth profiles is deduced as well. The results proves that the conjugate teeth profile of the ringed involute spherical gear is also the profile of the ringed involute spherical gear.