In view of the drug resistance with most of the currently used anticancer drugs, molecular hybrids of pyrazolyl chalcones and p-nitro benzyl functionalities tethered by triazole ring have been synthesised and evaluated for cytotoxic studies against three human cancer cell lines (THP, COLO-205, A-549). The results of the preliminary investigation exhibited marked dependence of the cytotoxic activity on the electronic factors. Placement of naphthyl (JGPT-11) and trimethoxy phenyl ring (JGPT-6) as ring A proved to be extremely beneficial in enhancing the cytotoxic potential. Thus we herein report the synthesis and cytotoxic studies of a new class of molecular hybrids. Detailed investigation on the biological mechanistic insights of JGPT-11 and 6 is under progress.