The baryon Ξb(6227) with the quantum number JP =1/2-is considered as a molecular state composed of a Σb baryon and (K) meson.The partial decay widths of the Σb(K) molecular state into Ξbγ and Ξ'bγ final states through hadronic loops are evaluated with the help of the effective Lagrangians.The partial widths for the Ξb(6227) → γΞb and Ξb(6227) → γΞ'b transitions are evaluated at 1.50-1.02 keV and 17.56-24.91 keV,respectively,which may be accessible for the LHCb.Based on our results,we argue that an experimental determination of the radiative decay width of Ξb(6227) is important for the understanding of its intrinsic properties.