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A coupled integral equation equivalent circuit (IEEC) and transmission line (TML) method is used to model the gapped power-ground planes. The integral equation equivalent circuit method can model an arbitrary shaped power-ground pair with much less time than usual commercial software. However, in gaped planes, there is strong coupling between the two sides of narrow slot, so the coupling effects should be taken into account in the modeling. In this model, the segmental lumped circuits of coupled microstrip lines are integrated to the equivalent circuit, which is deprived by the integral equation equivalent circuit method for arbitrary shaped power-ground (PG) planes. The proposed method has been examined by using he commercial simulator HFSS through several examples.