We demonstrate an all-optical generation of Brillouin dynamic grating (BDG) in a single-mode dispersion-shifted fiber (DSF). The feature of multiple-peak Brillouin gain spectrum (BGS) owing to the existence of the multiple acoustic modes in the single-mode DSF is utilized. Two inharmonic lock-in detections are newly introduced to characterize the BGS and the frequency-maintained or frequency-shifted BDG reflection. The frequency-shifted property of the BDG in the DSF with hundreds of MHz can find great potential applications in optical fiber sensing or all-optical signal processing.