To provide a continuously variable transmission allowing easy change speeds and selection of forward and backward modes.

A track 2 is formed on a plane passing through the center of the inner spherical face of the housing 1 having a spherical internal face. Shafts 5, 6 are arranged to pass through the center of the inner spherical face, have a crossing angle with a splitting face variable on the plane perpendicular to the splitting face, and penetrate the housing 1 rotatably. Semicircular flat-plate-shaped vanes 3a, 3b, 4a, 4b each having an arc arranged in slide contact with the spherical surface and a chord arranged along the track are slidably fitted in grooves 9a, 9b, 10a, 10b having a width equal to the thickness of the vanes and formed in cones 7, 8. An operating fluid is filled in an internal space of the housing.