We aim to study the interaction of different nucleobases (adenine (A), thymine (T), guanine (G), cytosine (C) and uracil (U)) with the C₂₄ fullerene (D_6d symmetry) and to get the binding sequence of these nucleobases using dispersion (D3) corrected density functional theory (DFT). To evaluate the interaction between the nucleobases with the C₂₄ fullerene, we have performed adsorption energy calculation, NBO analysis, Mulliken charge analysis, density of state calculation, sensing response analysis and recovery time calculation. We observed that adsorption sequence of nucleobase follows the trend as A > C > G > T > U. Due to interaction between the nucleobases and C₂₄ fullerene charge redistribution takes place between them and induces the dipole moment. Adenine can be enisled from the other DNA nucleobase molecules, while cytosine and guanine can be sensed with the recovery time of 10⁻¹⁴ s in gas phase. The interaction energy increases for adenine and cytosine with solvent effect confirms their application as carrier.