Abstract: A self centering pulley particularly suitable for drapery traverse rods is made of molded plastic and is provided with an inner generally cylindrical male race member and a mating outer female race member. Self centering is accomplished by dimensioning the male race to extend axially outward of and beyond the sides of the female race in both directions and providing the male race with an inward taper so as to contact the female race only at its outer edges on each side when the races are centered. A retaining bead is provided centrally of one race to interlock with a similarly located groove on the other race so as to limit axial relative motion between the race members. Only the male race member needs to be secured to a supporting structure.