In this work, a series of 2-(1H-benzo[d]thiazole-2-yl)-N-arylbenzamides is synthesized by using diethyl phthalate, anilines and 2-amino-benzenethiol by one-pot three component synthesis in glycerol medium. Phosphoric acid is used as an effective reagent for this one-pot three component reaction. This reaction got completed in a short time, easy workup and gave an excellent yield in glycerol medium. The N-arylbenzamides was found to have significant cytotoxic potentials against various cancer cells viz., A549 (lung cancer), HeLa (cervical cancer) and MCF-7 (breast cancer) using MTT assay. The molecular docking study is also employed to understand the binding mechanism of N-arylbenzamides against the antibacterial target. The docking result shows the binding energy of compound 4a is -8.6 kcal/mol. The binding affinity is a major concern and it shows that Asn and Thr residues have an interaction with compound 4a.