Here we report the single crystal growth, magnetic and transport properties of Cr-doped Sb4Te3, (Sb1-x Cr x )4Te3, with doping concentrations x = 0.25%, 0.5%, 0.75%, and 1%. The samples with lower doping concentrations are paramagnetic, while ferromagnetism appears in higher doped samples with the highest Curie temperature of 7 K when x = 1%. Anomalous Hall effect with clear hysteresis loop is observed in the samples with x = 1%, indicating the intrinsic ferromagnetism in the system. Hall resistivity measurements show the dominant charge carriers are holes and the density of holes increases with the doping concentration. This work provides a possible single-crystalline platform for further experimental researches on the nontrivial band topology in Sb4Te3, and enriches the ferromagnetic members in the transition metal doped (Sb2) m -Sb2Te3 topological material series.