The reaction mechanism between azacyclopropenylidene and azacyclopropane has been systematically investigated employing the second-order Møller-Plesset perturbation theory (MP2) method to better understand the azacyclopropenylidene reactivity with three-membered ring compound azacyclopropane. Geometry optimization, vibrational analysis, and energy property for the involved stationary points on the potential energy surface have been calculated. For the first step of this reaction, azacyclopropenylidene can insert into azacyclopropane at its C-N bond to form a spiro intermediate IM. Through the ring-opened step at C-C bond of azacyclopropenylidene fragment, IM can transfer to product P1, which is named as pathway (1). On the other hand, through the H-transferred step and subsequent ring-opened step at C-N bond of azacyclopropenylidene fragment, IM can turn into product P2, which is named as pathway (2). From the thermodynamics viewpoint, the P2 is the dominating product. From the kinetic viewpoint, the pathway (1) of formation to P1 is primary.