Although a lot of interface crack problems were previously treated, few solutions are available under arbitrary material combinations. This paper deals with an edge interface crack in a bonded infinite plate and semi-infinite plate. Then, the effects of material combination on the stress intensity factors are discussed. To obtain the interface stress intensity factor very accurately, a useful method is presented on the bases of the stress values at the crack tip calculated by the finite element method. The stress intensity factors are indicated in charts under arbitrary material combinations. For the edge interface crack, it is found that the dimensionless stress intensity factors are not always finite depending on Dunders' parametersα, β. For example, they are infinite when α(α-2β)>0. And they are finite when α(α-2β)=0, and zero when α(α-2β)<0.