Tested of 6 kinds of lime stone powder particle size distribution were calculated and the fractal dimension of particle size distribution, different fractal dimension the correlation between surface area, median grain diameter RR-B value, influence and 20% of the total mass of limestone powder replacing cement was studied. The research includes dimension on fluidity of cement paste, 3, 7, 28d mortar strength value. The results showed that fractal dimension for limestone powder specific surface area, median grain diameter and RR-B value has a good linear relationship. The fractal dimension has a quadratic function with the degree of the fluidity , and the maximum value was between 2.1-2.2. 3, 7, 28d mortar strength value and fractal dimension into a linear relationship, the greater the fractal dimension, the higher the strength.L4 influenced the maximum strength. The effect of L1-L4 on 3d and 7d intensity was higher than that of 28d. but the effect of L5-L7onr 3d, 7d, 28d was essentially the same.