The terminal velocity of free-falling hailstones of conical shape, which are often found in Xinjiang region of China, has not been much inves tigated. Our experiment measures this velocity of conical hailstone models. An equation expressing this velocity with respect to the geometric parameters is derived. Both experiment and theoretical inference showthat the terminal velocity of the conical hailstones differs from that ofthe spherical ones. The former is not a simple function of mass andsize but a function of mass and geometric parameters such as the conicalangle and the curvature of the base of the cone.