The studies on the potential energy curves of the electronic excited states 2 1Πg, 4 3Πg, b 3Πu of Na2, the states a3Σ+u, 2 1Πg, B 1Πu, A 1Σ+u of K2 and the state 1 1Πg of Cs2 molecules by using the energy consistent method (ECM) are reported here. The results show that the present ECM potentials agree very well with the known Rydberg-Klein-Rees data or the inverted perturbation approach data, and that they are much better than other analytical potentials such as the Morse and the Huxley-Murrell-Sorbie potentials for the electronic excited states of alkali diatomic molecules.