The cold and spontaneous fission fragments mass yield of Cf is calculated using the statistical scission point model. The results are compared with the available experimental data and the calculated results of the WKB model. This comparison indicates that the fission fragments mass distribution obtained by the statistical method are well agreed with the experimental data than the WKB model. The finite-range liquid-drop (FRLDM) as a macroscopic model with shell effects and pairing energy was used as the microscopic energy. On the other hand, for the microscopic energy, the deformation energy is substituted by the temperature dependence of the nuclear excited energy. The shell correction energy as a function of mass and atomic numbers of fission fragments is formulated in our systematic approach. The deformation parameters and the fragment temperature are obtained by fitting the calculated results with the experimental data. Analysis of calculated results of fragments mass yields clear that the pairing energy has relatively weak effect on cold fission fragments yields against spontaneous fission, although the deformation parameters are effective on cold fission fragments yield than the spontaneous fission.