Three nonlinear processes responsible for frequency conversion of a copper vapor laser emission in KDR and BBO crystals have been experimentally studied. For a mean power of 2 W delivered by a copper vapor laser at each of the two wavelengths ( λ1 = 510,6 nm, λ2 = 578,2 nm) the efficiency of conversion to the second harmonics up to 25% has been achieved. The efficiency of conversion into the radiation at summed frequency was about 14 %. Some features of a copper vapor laser are unfavorable for the above mentioned nonlinear processes. Possibilities of reaching better efficiencies are demonstrated.