Acoustomagnetoelectric Effect (AME) in Graphene Nanoribbon (GNR) in the presence of an external electric and magnetic fields was studied using the Boltzmann kinetic equation. On open circuit, the Surface Acoustomagnetoelectric field ( E SAM E ) in GNR was obtained in the region ql >> 1, for energy dispersion ε(p) near the Fermi level. The dependence of E SAM E on the magnetic field strength (η), the sub-band index (p i ), and the width (N ) of GNR were analysed numerically. For E SAM E versus η, a non-linear graph was obtained. From the graph, at low magnetic field strength (η < 0.62), the obtained graph qualitatively agreed with that experimentally observed in graphite. However, at high magnetic field strength (η > 0.62), the E SAM E falls rapidly to a minimum value. We observed that in GNR, the maximum E SAM E was obtained at magnetic field H = 3.2Am −1 . The graphs obtained were modulated by varying the sub-band index p i with an inversion observed