The algebraic energy method (AEM) is applied to the study of molecular dissociation energy De for 11 heteronuclear diatomic electronic states: a3∑+ state of NaK, X2∑+ state of XeBr, X2∑+ state of HgI, X1∑+ state of LiH, A3Ⅱ(1) state of IC1, X1∑+ state of CsH, A(3Ⅱ1) and B0+(3Ⅱ) states of G1F, 21Ⅱ state of KRb, X1∑+ state of CO, and c3∑+ state of NaK molecule. The results show that the values of De computed by using the AEM are satisfactorily accurate compared with experimental ones. The AEM can serve as an economic and useful tool to generate a reliable DR within an allowed experimental error for the electronic states whose molecular dissociation energies are unavailable from the existing literature.