In this study, a theoretical model of one dimensional fracture grouting in soil is proposed based on fluid mechanics and force analysis during grout fracturing process. Solutions for grout pressure, and the length and width of the fracture are obtained, and the influence of the yield strength on the fracturing behavior isanalyzed. Results show that, the grouting distance decreases and the fracture height increases as the yield strength of grout increases. A laboratory test was carried out in this study to validate the proposed theoretical model. The dimension of the solidified grout was measured after excavation. For higher yield strength, the grout front has a blunt shape, which means the pushing effect plays a more important role than the fracturing effect and the fracturing process was controlled by different mechanisms for different yield strength during theexperiment. Comparison between the theoretical and the experimental results shows that the proposed model can effectively describe the fracture grouting process.