In this paper one-dimensional discrete brush model is described. A new model contains twisting concept along a trajectory of tread base and explains the mechanism of moment around the vertical axis at large camber angles. Calculations are focused on tires for motor-cycles, since motor-cycles often use tires under the condition of large camber angles. The calculated results are compared with the experimental results and it is shown that the proposed model can be applied to the calculation of the moment around the vertical axis at large camber angles.