Real Spherical curvature motion has been defined by A. Karger and J. Novâk [1 ]. In this paper, this motion has been considered on the dual sphere and the results carried to the line space IR^ by means o£ Study map. During the dual spherical curvature motion K/K' the Study map of the orbits drawn on the K' by Vp Vg and are obtained as + y', — (y, — v'2v)2 2v2, •y y, = c arctg —— , (c=const.) A + y’2 (w*-y3)^