The application of the hyperspherical harmonic approach to the case of the N – d scattering problem is described. The nuclear Hamiltonian includes local and non-local two- and three-nucleon interactions. Also, Coulomb repulsion is included in the p – d case. Accurate calculation for p – d and n – d cross section and polarization observables at two center-of-mass energies are performed and the theoretical results are compared with the available experimental data. A satisfactory agreement between theory and experiment is found, except for the vector polarization observables. A quantitative estimate of the agreement or disagreement between theory and experiment is obtained performing a χ² analysis.