The friction between the abrasive grains and workpi ec e is a crutial factor determining the main grinding output. Few studies have bee n carried out investigating the values of the friction coefficient in grinding, due to the difficulty of direct measurement. In this paper, a mathematical model of the friction coefficient in grinding has been established with the aid of a new grinding parameter C ge, which has close relations to wheel wear rate Z s, metal removal rate Z w, specific energy u and grinding force ratio λ(λ=F n/F t). By monitoring the process forces, C ge can be obtained and used easily for different grinding methods. Heavy grinding with different wheels and also single-grit grinding tests have been conducted for various work materials. The friction coefficients under different grinding conditions have been obtaine d using the model and the experimental results. For most materials tested in pap er, the friction coefficients decrease with the grinding speed. The friction coe fficients in single-grit grinding are 0.61~0.84 at the speed of 0.028 m/s, and 0.09~0.34 at the speed of 67~120 m/s. In single-grit grinding for 45 # a nd 20Cr steels, the friction coefficients decrease with the increase of the grindi ng speed while below a critical speed, and increase slightly with the increase o f grinding speed while above the critical grinding speed. Owing probably to the high surface temperature caused by high power consumption and dry condition, the friction coefficients in heavy grinding are 0.09~0.19, distinctly lower than t h ose of single-grit grinding, and also lower than those of ordinary grinding. Du e to the softening of the metals, the friction coefficients in heavy grinding un der dry condition are lower than that in wet condition. Owing probably to the di fference of hardness and roughness, while using different types of wheel and abr asive, the friction coefficients for the same work material changes even at same grinding speed. The work materials also substantially influence the friction coefficient depending on the properties such as the plasticity, hardness and a lso the tendency of adhesion to the abrasives.