Hyaluronic acid (HA) is a natural glycosaminoglycan and is used widely in the pharmaceutical field. Lipoic acid (LA) helps the regeneration of exogenous and endogenous antioxidants such as Vitamin C and Vitamin E as well as glutathione. It also acts as antioxidant indirectly. Hydrophilic HA as a biodegradable and biocompatible polymer was conjugated with hydrophobic LA as an antioxidant to form the graft copolymer. The carboxyl group of HA was modified by adipic acid dihydrazide (ADH). The synthesis of HA-g-LA graft copolymers was characterized by FT-IR, $^1H$-NMR spectroscopy. The conjugates could form the self-assembled nanoparticles in aqueous solution. The particle size and critical aggregation concentration were verified to use the nanoparticle as a carrier fur the hydrophobic material.