The various sources of supplemented copper had a different impact on the animal performance based on their bioavailability. The current study compared the effects of supplementary copper oxide (CuO), copper acetate (Cu-acetate) and copper nanoparticles (Cu-NP) on performance, immune function, nutrients digestibility and architecture of the liver and kidney of growing rabbits for eight weeks. Sixty rabbits (581 ± 6.56 g) were randomly allocated to four treatments as follows: basal diet, 100 mg copper/kg diet as CuO, 100 mg copper/kg diet as Cu-acetate and 50 mg copper/kg diet as Cu-NP. Cu-acetate and Cu-NP improved specific growth rate, final weight and daily weight gain. Cu-NP supplementation had higher feed intake, feed conversion, protein efficiency, hematocrit and hemoglobin values compared with other copper forms. All copper sources showed higher levels of serum complement component 3, Immunoglobulin M, lysozyme activity and the digestibility of nitrogen-free extract, dry matter and organic matter. As a result, increased nutritive values were detected when the rabbits were fed copper-supplemented diets. No liver and kidney architecture alterations were identified between the experimental groups. In conclusion, both dietary Cu-NP and Cu-acetate were more efficient than CuO in enhancing growth and seem promising in fattening rabbit nutrition.