We report the effect of fluorine doping on the fabrication and superconductivity of the iron-based arsenic oxide SmO1-xFδFeAs (δ≥x) compound. The fluorine over-doping can greatly reduce the heat treatment temperature and the heat treatment time, meanwhile the superconductivity of the SmO1-xFδFeAs samples does not reduce. The critical transition temperature (Tc) is as high as 56.5 K for the SmO0.7F0.3FeAs sample prepared by the two-step solid state reaction method at 1120 °C for 40 h, the Jc of the sample is 2.4×105 A/cm2 (10 K, 0 T). Tc of the fluorine over-doped SmO0.7F0.35FeAs and SmO0.7F0.4FeAs samples prepared by the two-step solid state reaction method at 1100 °C for 20 h are 56 and 55 K, respectively. Jc of the both samples are 1.9×105 and 1.7×105 A/cm2 (10 K, 0 T), respectively.