A method for producing random form of nanosilicate platelets comprises mixing and acidifying an exfoliating agent with an inorganic acid to form an acidified exfoliating agent; intercalating layered inorganic silicate clay with the acidified exfoliating agent to form a mixture; and dissolving the mixture in a solvent and reacting it with a hydroxide or chloride of alkali metal or alkaline-earth metal. The hyperbranched polyamines serving as the exfoliating agent are prepared by polymerizing poly(oxypropylene)-triamine and diglycidyl ether of bisphenol-A (DGEBA). Hydrophilic amine groups of the exfoliating agent are acidified and then reacted with the layered inorganic silicate clay through cation exchange reaction and physical clay exfoliation to give random form of nanosilicate platelets.