According to site measurement and labora- tory experiment, the authors suggest a new mathematical model of grouted rock bolts. The rock bolt is taken as an elastic bar, and the grout is substituted by a set of springs the rigidity of which is given as K. Based on certain assumptions, a simplified formula is deduced. When the category of rock, depth of tunnel, the spacing of rock bolts and the rigidity of springs K values are given, so that we can calculate the radius of plastic zone, and subsequently the convergence of rock at the tunnel inner surface u, and the resis- tance exerted by the rock bolt p. Finally, the length of rock bolt can be determined.