It is well known that the vibration cutting process utilizing a pulsating cutting force is suitable for precision machining. Dynamic motion of the work is theoretically analyzed on a linear tool-work forced vibration system. The purpose of this study is to analyze the nonlinear vibration phenomena on vibration cutting. In this report, experiments are carried out using the 2-dimensional vibration cutting device to confirm the nonlinearity of the dynamic motion of work, and the profile of a machined surface in such a case. The trajectory in a 3-dimensional phase space of work displacement, velocity and time, is mapped on the Poincare section of displacement and velocity. On the mapped points, such nonlinear vibration phenomena as subharmonic vibration, quasi-periodic vibration and bifurcation, are shown. And It is suggested that the profile of a machined surface can be analyzed by using the Poincare map.