The present invention pertains to a method of treating cancer or its relapse in mammals by employing platinum based compounds. More particularly, the present invention provides to enhance immunity in a mammal, using a compound of Formula I and/or Formula II, preferably Compound 1 or its derivative, salt, tautomeric form, isomer, polymorph, solvate, or intermediates thereof. The method of inducing an immune response in a mammal is mediated through immune memory. The present invention also provides for such platinum based compounds and their use in treating cancer, metastasis or cancer relapse.