Nanocrystalline cubic CuFe2O4 have been prepared by co-precipitation method. The experimental conditions have been controlled to produce CuFe2O4 with particle size 18 nm, 7.2 nm, and 3.2 nm as calculated by Scherrer formula. Room temperature Mossbauer spectra show that 18 nm and 7.2 nm CuFe2O4 exhibit ferrimagnetism while 3.2 nm CuFe2O4 exhibits superparamagnetism. The cationic distribution calculated using Mossbauer spectra confirm to the cubic structure confirming the findings of XRD study. XPS data corroborates the finding. Low temperature Mossbauer measurements on 3.2 nm particles show gradual transformation to ferrimagnetic state.