A new class of acetamidomethylsulfonyl bis heterocycles-oxazolyl-1,3,4-oxadiazoles, -thiazolyl-1,3,4-oxadiazoles, and -imidazolyl-1,3,4-oxadiazoles were synthesized from the synthetic intermediates, methyl 2-((4-aryloxazol-2-ylcarbamoyl)methylsulfonyl)acetate, methyl 2-((4-arylthiazol-2-ylcarbamoyl)methylsulfonyl)acetate, and methyl 2-((4-aryl-1H-imidazol-2-ylcarbamoyl)methylsulfonyl)acetate. All the title compounds were tested for their antioxidant activity. The oxadiazolylmethylsulfonyloxazolylacetamide displayed excellent radical-scavenging activity when compared with the standard ascorbic acid.