The invention provides a high-corrosion-resistance austenitic stainless steel containing copper, zirconium and cobalt, and a processing and heat treatment method thereof. The high-corrosion-resistanceaustenitic stainless steel containing copper, zirconium and cobalt comprises, by mass, no less than 0.08% of C, 10.0%-14.0% of Ni, 16.0%-18.5% of Cr, 2.0%-3.0% of Mo, no less than 0.60% of Zr, 0.2%-0.8% of Cu, 0.1%-0.5% of Co, no less than 2.0% of Mn, no less than 1.0% of Si, no less than 0.035% of P, no less than 0.030% of S, and the balance Fe, wherein 7.59*(C-0.01)<=Zr<=7.50*C. Thermal-deformation blooming, cold deformation, TiC crushing and dispersion, high-temperature solution treatment, and grain coarsening are sequentially conducted. The corrosion current density of the high-corrosion-resistance austenitic stainless steel containing copper, zirconium and cobalt in an H2SO4 electrolyte having a concentration of 0.5mol/L and containing 5*10<-6>F<-> at the temperature of 80 DEG C under an oxygen condition is 1.64-2.13[mu]A/cm<2> and is equivalent to that of a stainless steel bipolar plate with a coating on the surface. The high-corrosion-resistance austenitic stainless steel containing copper, zirconium and cobalt has the characteristics of low hardness and high ductility, and formation of a passage of the bipolar plate is facilitated.