Through the combination of X-ray diffraction, electrical transport, magnetic susceptibility, and the heat capacity measurements, we studied the effect of Ce doping in the newly discovered SrFBiS2 system. It is found that Sr0.5Ce0.5FBiS2 undergoes a second-order transition below ∼7.5 K, followed by a superconducting transition with the critical temperature Tc∼2.8 K. Our transport, specific heat and DC-magnetization results suggest the presence of bulk ferromagnetic correlation of Ce ion below 7.5 K that coexist with superconductivity when the temperature is further lowered below 2.8 K.