Based on the single-site electron correlation, the local approach has been used to investigate the ferromagnetic phase in the Hubbard-Hirsch model. Using the R =0,α approximation in second-order calculation, the electron Correlation effect on the phase diagram has been studied Carefully. Comparing with those of the R=0 approximation, the electron correlation effect becomes weaker due to taking into aceount the nondiagonal elements of density matrix.