A tripod type constant velocity universal joint includes an outer joint member including three track grooves having roller-guide surfaces arranged to face each other in a circumferential direction, a tripod member including three leg shafts projecting in a radial direction, and roller units each including a roller and an inner ring for supporting the roller in a freely rotatable manner. The inner ring is externally fitted to corresponding one of the three leg shafts. The roller is movable along the roller-guide surfaces of corresponding one of the three track grooves. Each of the three leg shafts includes a region formed into a substantially circular-arc shape in horizontal cross-section that is orthogonal to an axial line of the each of the three leg shafts.