We propose and demonstrate an approach to generating a frequency-hopping (FH) microwave signal using an optoelectronic oscillator (OEO) based on stimulated Brillouin scattering (SBS). An SBS-based OEO is utilized to generate pure microwave signals as local frequency signal, and a dual-drive Mach–Zehnder modulator is employed to generate the FH signal. During the experiment, the local frequency generated by the OEO is 9.2 GHz with a power of 0 dBm and the FH signal hopping between 9.2 and 18.4 GHz is generated with FH speed up to 2 GHz.