The monoclinic (M) phases in high-performance relaxor-based ferroelectric single crystals have been recognized to be a vital structural factor for the outstanding piezoelectric property.However, due to the complexity of the structure in M phases, the understanding about it is still limited. In this work, the local twin domains and tip-voltage-induced domain switching of monoclinic M C phase in Pb(Mg 1/3 Nb 2/3 )O 3 -0.34PbTiO 3 (PMN-0.34PT) single crystal have been intensively investigated by Piezoresponse Force Microscopy (PFM). By theoretically analyzing the experimental patterns of domain walls on (001) C face, the specific M C twin domains in the initial annealed state of a selected area have been clarified, and the polarization orientation of the M C phase in this sample is determined to be at an angle of 29° to the <001> C directions. In addition, based on the evolution of domains and the motion of domain walls under the step-increased PFM tip DC voltage (V dc ), the switching process and features of different types of M C domain variants are visually revealed.2