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The aim of this study was to investigate the interaction modification of curcumin complex molecule (CUR) in beta- and gamma-cyclodextrin (β-CD and γ-CD) carriers with chitosan (CS) nanoparticles for targeted drug delivery and to compare their performance. The targeted drug delivery system includes the therapeutic agent of the CS nanoparticles targeting section of the same drug and the CD carrier system. Calculations of the relationships of the formation of modified complexes and their application were performed using UV-vis spectroscopic data analysis. In this study, spectroscopic spectrum diagrams were drawn to prove the optimization of molecular structure in the modified complexes. Data analysis was performed using their respective equations. The cationic polysaccharide CS, with the presence of amino agents and alcohols along the polysaccharide chains, enables it to form a covalent bond with the complexes and increase the solubility of cyclodextrin. CS nanoparticles strengthen the hydrogen bond by hydrogen bonding and van der Waals hydrogen interactions of the hydroxyl cyclodextrin group with the hydroxyl phenolic group of the drug molecule CUR. Modification of the γ-CD complex with CS shows the strongest interaction with CUR. Both CUR complexes are in the CD-CS host system to transfer the charge from the drug to the carrier and the therapeutic agent. CS nanoparticles have the property of targeted delivery systems for anticancer drugs because the CS external field can be used to direct the drug to specific target cells. The γ-CD-CS host system is the best host as a carrier and therapeutic agent for CUR due to its high solubility and strong interaction.