An efficient and eco‐friendly methodology has been developed for the construction of fused imidazo[1,2‐a][1,8]naphthyridine derivatives in the presence of 1,4‐diazabicyclo[2.2.2]octane, and involving various substituted heterocyclic amines with phenacyl bromide under solvent‐free solid‐state condition obtained the corresponding compounds (5a–g, 7a–f) in short reaction time with high yield which is the important features of this protocol. All newly synthesized products were evaluated for their antibacterial and fungal activities. All these compounds displayed good antibacterial and antifungal activity. In predominantly, compounds 7e, 7d, and 5d demonstrate the highest antibacterial and antifungal activities. Furthermore, in silico molecular docking studies results were well complemented to the antimicrobial activity.