Muthuswamy is a Tamil name and may refer to

C. Muthuswamy Gounder, Indian politician Na. Muthuswamy, art director T. Muthuswamy Iyer, Indian lawyer Nandini Muthuswamy, Carnatic violinist Mangalam Muthuswamy, Veena artist Muthuswamy Deekshitar, Carnatic music composer Vasantha Muthuswamy, Indian bioethicist