Non-covalent interactions of N-(4-carboxyphenyl)phthalimide (CPP) with carbon nanotubes (CNTs) have been investigated to see the effects of interactions on the properties of CPP, which is a medicinal compound. Two models of (3,3) armchair and (6,0) zigzag CNTs have been considered in this work. All structures have been optimized by density functional theory (DFT) calculations to evaluate the corresponding properties. Moreover, quadrupole coupling constants (CQ) have been evaluated at the atomic scale for the optimized structures. The results yielded stabilized CPP@CNT hybrids by effects of hybridization on the properties of both of CPP and CNT counterparts. The CQ parameters also indicate that the carbon atoms are very much important to detect the type of CNT whereas other atoms showed almost the same effects at the same situations. As a result, the CPP could be very well hybridized with the CNT through non-covalent interacting system.