The analytical potential energy curves of stable diatomic electronic states are investigated based on the algebraic method (AM) and energy consistent method (ECM). The AM-ECM method is applied to 4 electronic states of 7Li2-23∑g+, KH-X1∑+, NaLi-X1∑+ and NaLi-A1∑+. The results show that the AM-ECM potentials are superior to some other analytical potentials, and can generate accurate analytical potential expressions of these electronic states in the molecular asymptotic and dissociation region.