The　toroidal　drive　offers　the　advantages　such　as　a　high　horsepower-to-weight　ratio,　coaxial　configurations,　compactness　and　high　operating　efficiencies.　It　combines　most　of　the　positive　attributes　of　a　circular　worm-gear　drive　and　epicycle　gear　drive　without　their　negative　aspects　due　to　the　introduction　of　a　set　of　rollers　in　meshing　contact　with　rolling　movement　between　a　sun-worm　and　planet　worm-gears,　and　between　a　stationary　internal　toroidal　gear　and　planet　worm-gears.　However　difficulties　were　encountered　in　machining　the　toroidal　surface　of　the　stationary　internal　toroidal　tooth　profile.　This　paper　investigates　the　toroidal　meshing　surface　and　develops　a　mathematical　modelling　of　the　meshing　surface　and　the　conjugate　surface　using　motion　analysis　of　the　epicyclic　gear　train.　Then　the　enveloping　and　NC　machining　methods　are　proposed　and　based　on　these　machining　methods　the　stationary　internal　toroidal　gear　is　manufactured.　This　results　the　comparative　study　of　the　tooth　profile　of　manufactured　toroidal　gears　by　the　proposed　methods.