According to the insufficiencies of inability to adjust supporting radius and control cutting precision and shape of cutting blade in existing high-speed and dynamic cutting device of bar, the mathematical model between supporting radius, cutting error and cutting parameters such as cutting mode, number of blades and so on were established based on the analysis of cutting principle, and new adjustable support device was designed using slider-crank mechanism. The curvilinear equation between the shape of cutting blade and grinding parameters such as cutting diameter and installing angle of grinding wheel was built by means of homogeneous coordinate transformation, then a new adjustable grinding device was designed. The speed of cutter, cutting error and other parameters were selected as optimization objects, the nonlinear multi-objective optimization of parameters of the two-blade and two-cutting cigarette cutting device was achieved by using the Matlab optimization toolbox. The project of new high-speed and dynamic following cutting device of bar was proposed, and the new device adopts the cut mode of four-blade and two-cutting. It is found that it has better cutting performance and cutting quality when the cutting efficiency is constant, and the device proves possible after simulation.