A sliding-type tripod-shaped constant-velocity universal joint capable of being downsized while reducing induced thrust force. The constant-velocity universal joint includes: an outer race; a tripod including a boss portion and three tripod-shaft portions being inserted into roller grooves; and rollers. And, a shaft-axis-wise width of the tripod-shaft portions is formed smaller as it goes from the root side to the leading-end side in a torque transmission region of the tripod-shaft portions. Further, a torque-transmission-wise width of the tripod-shaft portions is formed greater as it goes from the root side to the leading-end side in the torque transmission region when defining a direction that intersects with the shaft axis and the tripod-shaft portions orthogonally as a torque transmission direction.