Both experimental and computational studies for the cycloaddition reaction between N-(3-pyridyl)aldimines and acetylenes where 1,5-naphthyridines are obtained are reported. The reaction of benzaldimine with a methoxycarbonyl group in position 2 with phenyl acetylene, styrene, and indene afforded polycyclic isoindolone derivatives. The mechanism of reaction of N-(3-pyridyl)aldimines with olefins can be explained by an asynchronous [4+2] cycloaddition; in the case of acetylenes, the obtained results suggest a stepwise mechanism through a 3-azatriene.