A tripod-type constant-velocity universal joint has a journal raw profile with reduced weight and a reduced number of manufacturing steps. A leading end corner portion of the journal raw profile is held with use of a die and forged. By the forging, at the part including an elliptically longitudinal side relatively on a leading end portion side of an outer peripheral surface of each of journals, edge portions reducing a lateral sectional area of each of the journals toward a leading end side thereof are formed, and tapered surfaces are formed on the leading end side of the edge portions. Centering on each of the journals is performed by causing two points on an elliptically longitudinal side of the edge portions to abut against a centering jig.