Abstract: The equation of relative motion between two nuclei,i.e. resonance group equation,is derived from the p-s equation of six quarks system.And by resonance group method and integral transformation,the analytic representation of quark-gluon exchang potential was got.By further considering the short range part of the contribution of quark-gluon exchange potential and the intermediate-long range part of the effects of one-pion and two-pion exchange to nuclear force,the analytic representation of N-N effective potential was given,thus the nature of the nuclear force is studied all-sidedly.

Key words: quark-gluon exchange, one-pion and two-pion exchange, analytic representation of nuclear force