Recently, the concrete floor finishing robot, which can be used for flattening and smoothing the concrete floor, has been developed in Korea and Japan. While the previous research assumes that the concrete floor is deformable and the trowel is rigid in modeling the concrete floor finisher, we assume that the concrete floor is rigid and the trowel is deformable. Based on this assumption, we derived the equations of motion and found the convergent velocity of the concrete floor finisher using the computer simulation. From these results, we can understand the relationship between the motion characteristics and the design and control parameter of the robot.