Accelerating magnetic resonance elastography (MRE) is desired for improved patient care and image quality. In this study, we proposed a multiphase radial DENSE MRE (MRD-MRE) sequence, and a compressed sensing based reconstruction algorithm using the sparsity of harmonic motion. A spatial modulation of magnetization (SPAMM) shot was applied for motion encoding together with a radial sampling scheme for acceleration. Reconstruction accuracy was improved by utilizing the temporal sparsity of harmonic motion. Phantom and brain imaging showed that an acceleration factor up to 4 could be reached.