Basalt fiber reinforced reactive powder concrete, as a new type of construction material, has a lot of outstanding performances. For example: high strength, good flexibility, good wear-resisting and impact resistance, it also shows good property in corrosion resistance. However, the study on basalt fiber reinforced reactive powder concrete is still in the initial stage, the numerical simulation research on the fracture property is basically in the blank stage. In this paper, the smeared cracking model was used in the numerical simulation. Cube compressive strength test, prism axial compression test, cylinder splitting tensile test and three-point bending beam fracture tests were done to get the relative parameters. The parameters obtained from the tests were used to develop the smeared cracking model by using the finite element analysis software ABAQUS. Based on the correct numerical model parameters, the ABAQUS finite element software was used to analysis the three-point bending beam with different span-depth ratio. The comparison of numerical results with experimental results indicates a good agreement.