We address the thermal conductivity and Seebeck coefficient of armchair graphene nanoribbon within tight binding model Hamiltonian in the presence of magnetic field. The possible effects of ribbon width, magnetic field chemical potential on thermoelectric properties are investigated. Green's function approach has been employed in order to calculate transport coefficients of the system. We have also found the temperature dependence of the thermal conductivity for various ribbon widths and chemical potentials. Our results show a peak appears in temperature dependence of thermal conductivity of insulator nanoribbon for low magnetic fields. Upon increasing magnetic field, thermal conductivity shows a monotonic decreasing behavior and peak disappears. Our results show the increase of chemical potential causes to decreasing behavior for thermal conductivity. Moreover we study the effects of magnetic field on temperature behavior of thermopower of insulator graphene nanoribbon in details.