A Lewis-acid promoted chemoselective condensation of 2-aminobenzimidazoles or 3-aminoindazoles with 3-ethoxycyclobutanones is presented. Diverse fused heterocycles benzo[4,5]-imidazo[1,2-a]pyrimidine and pyrimido[1,2-b]-indazole derivatives were obtained in moderate to high yields under mild conditions, the reaction mechanism of which was in sharp contrast to previous [3 + 3] annulation reaction of 3-ethoxycyclobutanones.