In finite element (FE) analysis, mesh generation is an indispensable operation. But, one of the problems found in going from CAD to CAE is that CAD models often feature a large number of faces, and many of them are much smaller than the allowable size. Specially, the appearing and existing of small blend faces on CAD models affects the quality of analysis. It not only increases the analysis time, but also produces poor simulation results. Hence, small blend face simplification on CAD models for mesh generation is essential to improve the quality of finite element analysis. This study develops algorithms to simplify small blend faces for producing better meshes for the FE analysis in accordance with the B-rep (boundary representation) model. It includes the following main operations: generating new geometric data to replace all small blend faces, adding new elements into the B-rep data, deleting elements related to small blend faces, and updating all topological data on the B-rep data. All small blend faces can then be suppressed after the above operations are implemented, which yields the simplified CAD model without small blend faces. Several realistic examples are presented to demonstrate the feasibility of the proposed method.