We obtained the dielectronic- recombination rate coefficients of Ni-like Au51+ through Cu-like 3d9nln'l'(n'=4,5,6; l'=s,p,d,f) in the range of 0.02keV ~ 10keV under the model of SOSA(spin-orbit-split Array).At the same time ,we analyzed the main factor which effected the dielectronic recombination rate coefficients with the electronic temperature.