This paper presents the behavior of a passively controlled horseshoe vortex at the root of NACA0024 wing, which is established on a turbulent boundary layer. A pair of vortex generators of half delta wing is installed upstream of the wing. The characteristics of optimally controlled case of interacting process with longitudinal vortex and horseshoe vortex are carefully investigated. In case of Common Flow Up Configuration of vortex generator, the horseshoe vortex is not shifted from the wing, because the longitudinal vortex is restrained. In case of Common Flow Down Configuration, the interacting vortex that has strong vorticity by a pairing process is shifted far away from the wing, and the paring occurs in a short distance.