In early experiments, the authors researched the force characteristics and failure modes of high strength grouting material in circular tubes with different thicknesses and forms. It was determined that the failure mode of the test pieces is that of shear failure and that the ultimate bearing capacity of the test pieces increases with an increase in the thickness of tube. Based on experiments on the local compression behavior of circular tubed high strength grouting material, a numerical simulation is conducted by establishing a multi-section model (MSM model) using the ABAQUS finite element computing platform. In addition, the mechanical properties of high strength grouting material confined by circular steel tube under local compression are investigated. Load-displacement curves calculated by the software are then compared with experimental results. Results show that the MSM model is applicable for conducting numerical simulations of circular tubed, high strength, grouting material under local compression. Calculated results are in good agreement with test results, and the bearing capacity can be improved by an increase in the following: the height-to-diameter ratio of samples, thickness of the steel tube, and strength of the high strength grouting material.