Product operator formalism is widely used for the analytical description of multi-dimensional and multiple-pulse NMR experiments for the weakly coupled spin systems having spin-1/2 and spin-1 nuclei. The INEPT NMR experiment is a polarization transfer experiment including J-coupling. In this study, the INEPT NMR experiment was analytically investigated by using product operator theory for weakly coupled ISn((NDn)-N-14) (I-1, S-1; n-1, 2, 3) spin systems. The obtained theoretical results represent the FID values of (NDn)-N-14 groups. In order to make Fourier transform of the obtained FID values, a Maple program is used and then simulated spectra of the INEPT experiment are obtained for (NDn)-N-14 groups. Then, the experimental suggestions are made for the INEPT NMR experiment of (NDn)-N-14 groups. Also, it is suggested that the INEPT NMR experiment of IS (I=1, S=1) spin system can be used in NMR quantum computing.