One reading micosoft office word (RW) model is presented, which is an effective way for information acquisition line by line, on top of that, the relationship of the two-dimensional laser cutting path in the two-dimensional space for the fixed size cutting of the moving materials is easily deduced. By analysing the path and using the delay step function to definate algorithms about the semi-continuous, constant velocity-continuous, and variable velocity-continuous cuttings are derived. In an ideal situation, only the laser′s uniform cutting velocity parameter νy, laser′s maximum offset coordinate (x0, y0) in the two dimensional space,and the materials′ minimum cutting size LMIN is identified, the continuous-cutting model by laser can come true with regulating the laser′s moving velocity parameter ν0 and the materials′ feed rate νx in the auxiliary cutting process. Besides, for the constant velocity body, with the use of Pro/E and the analysis of the cutting efficiency in unit time, the proposed algorithm′s rationality and reliability can be easily tested, and according to the constraints analyzed in the process, two pieces of fixed size materials can be cut constantly in one unit cycle time.