Since changes in mechanical properties of biological tissues are often closely related to pathology, the viscoelastic properties are important physical parameters for medical diagnosis. A photoacoustic (PA) phase-resolved method for noninvasively characterizing the biological tissue viscoelasticity has been proposed by Gao et al. [G. Gao, S. Yang, D. Xing, \Viscoelasticity imaging of biological tissues with phase-resolved photoacoustic measurement," Opt. Lett. 36, 3341-3343 (2011)]. The mathematical relationship between the PA phase delay and the viscosity-elasticity ratio has been theoretically deduced. Moreover, systems of PA viscoelasticity (PAVE) imaging including PAVE microscopy and PAVE endoscopy were developed, and high-PA-phase contrast images re°ecting the tissue viscoelasticity information have been successfully achieved. The PAVE method has been developed in tumor detection, atherosclerosis characterization and related vascular endoscopy. We reviewed the development of the PAVE technique and its applications in biomedical¯elds. It is believed that PAVE imaging is of great potential in both biomedical applications and clinical studies.