A vascular dilator has a truncated tip adapted to reduce the risk of trauma to a blood vessel into which the dilator is to be inserted. The vascular dilator comprises an elongate tube having a guide member lumen of uniform diameter in which a guide member may pass. The thickness of the walls of the elongate tube decreases at the distal portion to create a tapered configuration. The distal portion terminates in an outlet defined by first and second arcuate segments. The first arcaute segment lies generally in a plane perpendicular to the longitudinal axis of the tube, whereas the second segment lies so as to meet the first segment at angle in the range of 30.degree. to 60.degree..