BILIRUBIN IS A COMPOUND GENERATED BY METABOLISM OF HEMOGLOBIN AND OTHER IRON PORPHYRIN CONTAINING ENZYMES IN MAMMALS [1]. IF THE CONCENTRATION OF BILIRUBIN EXCEEDS A CERTAIN LEVEL IN THE BLOOD, SOME LIVER DISEASES MAY BE OCCURRED. IN THE TREATMENT OF THESE DISEASES, THE REMOVAL OF THE EXCESS BILIRUBIN FROM THE BLOOD IS THE MOST IMPORTANT MATTER. ONE OF THE PROPOSED METHODS FOR THE REMOVAL OF THE EXCESS AMOUNT OF BILIRUBIN IS ITS EGESTING FROM THE BLOOD USING NANOSTRUCTURED COMPOUNDS, SUCH AS CARBON NANOTUBES (CNTS) [2]. THE PURPOSE OF THIS WORK IS A THEORETICAL STUDY ON THE ADSORPTION OF BILIRUBIN ON SOME NANOPARTICLES, SUCH AS (5, 5) SINGLE WALL CNT (SWCNT), FULLERENE AND GRAPHENE. SWCNT (5, 5) HAS BEEN USED BECAUSE OF ITS MODERATE REACTIVITY AND STABILITY [3]. ALL THE CALCULATIONS IN THIS STUDY HAVE BEEN CARRIED OUT USING GAUSSIAN 03 AND NBO 5.0 PROGRAMS. THE AB INITIO HF AND B3LYP METHOD OF DENSITY FUNCTIONAL THEORY (DFT) HAVE BEEN USED FOR ALL CALCULATIONS, USING6-31G AND 6-31G (D) BASIS SETS. AFTER FULL OPTIMIZATIONS, SEVERAL THEORETICAL AND THERMODYNAMIC PARAMETERS SUCH AS MOLECULAR STRUCTURES, NBO CHARGES, DONOR-ACCEPTOR ORBITAL INTRACTIONS, HOMO AND LUMO ENERGY SURFACES AND THEIR BAND GAPS, DIPOLE MOMENTS, CURVATURE EFFECTS, POLARIZABILITIES, BINDING ENERGIES, DG, DH AND DS HAVE BEEN INVESTIGATED FOR BILIRUBIN ADSORPTION ON THE MENTIONED NANOSTRUCTURE SURFACES. THE CALCULATIONS SHOW THAT BILIRUBIN ADSORPTIONS ON ALL TARGET SURFACESARE THERMODYNAMICALLY FAVORABLE, BUT THE INTERACTIONSARENON-COVALENT (Π-INTERACTION), BECAUSE THE CALCULATED ADSORPTION ENERGY VALUES ARE NOT SIGNIFICANT. THE HIGHEST VALUE FOR THE BINDING ENERGIES BETWEEN THE BILIRUBIN AND THE TARGET NANOSTRUCTURES IS OBTAINED FOR GRAPHENE, WHILE THE ADSORPTION OF BILIRUBIN ON THE FULLERENE LEADS TO THE LOWEST BINDING ENERGY. THIS SHOWS THAT INCREASING THE CURVATURE OF THE ABSORBENT DECREASES THE AMOUNT OF ADSORPTION. ALSO, COMPUTED HOMO-LUMO BAND GAPS FOR THE BILIRUBIN, STUDIED NANOPARTICLES AND THEIR COMPLEXES SHOW THAT THE CHARGE TRANSFER IN THE COMPLEXES ARE MORE FAVORABLE THAN IN BILIRUBIN OR SELECTED NANOSTRUCTURE. OTHER MENTIONED PROPERTIES FOR BILIRUBIN ADSORPTION ON (5, 5) SWCNT, FULLERENE AND GRAPHENE HAVE BEEN INVESTIGATED AND COMPARED WITH EACH OTHER AND WITH OTHER WORKS, AND THE RESULTS HAVE BEEN DISCUSSED.