Abstract : We have investigated Kaon-Nucleon interaction in a constituent quark model in the momentum range for the Kaon between 0 and 1 GeV/c in the laboratory frame. This study has been motivated by the fact that in an approach relying on a boson exchange mechanism the Bonn group was forced, in order to obtain good agreement with 1 = 0 s-wave phase shifts, to add the exchange of a short range fictitious repulsive scalar meson. This need for repulsion, whose range (~ 0.2 fm) is smaller than the nucleon radius, clearly shows that the quark substructure of the nucleons and K+ mesons cannot be neglected. The Kaon-Nucleon phase shifts arc calculated in a quark potential model rising the resonating group method (RGM). We have to cope with a five body problem with antisymmetrization with respect to the four ordinary quarks of the. Kaon-Nucleon system. One requirement of our approach is that the quark-quark interaction must give a quite good description of the, hadron spectra. One goal of the present work aims at determining the influence of a relativistic kinematics, in this constituent quark model, for the calculation of KN phase shifts. We have also investigated s, p, d, f, g waves KN elastic phase shifts and we have included a spin-orbit term in the quark-quark interaction. Then we have studied the influence of medium and long range exchange mechanism in the quark quark interaction on KN phase shifts.