Abstract: The total N- N scattering phase- shifts are calculated , including the total phase- shifts of quark- gluon exchange potential, the phase- shifts of quark- gluon exchange instantaneous potential as well as the total phaseshifts of one- ?? and two- ?? exchange potential.The comparison of the calculation of phase- shift with the experimental result shows that they are consistent with each other and that quark- gluon exchange plays an important role in the
N- N interaction, expecially in the short range.

Key words: scattering phase- shifts, quark- gluon exchange potent ial, one- pion and two- pion exchange