Abstract: The finite element method was employed to simulate the crack growth behavior of ceramics matrix composites. The model used the combined elements for simulating the separation between matrix and fiber and the contact elements for simulating the friction between matrix and fiber，considering interfacial bond strength on the basis of the fracture model of fiber reinforced composites. It predicted that the interfacial bond strength between matrix and fiber affects the fracturing process through FEM calculation and studied the impacts on the composites with different elastic moduli of matrix for further discussion. Compared with other results，this result showed that the moderate interfacial bond strength was suitable for the composites，whether its elastic modulus of matrix was “strong”or“weak”，to improve the toughness and tensile strength.