Аннотация:Nowadays, graphene physics is aimed at finding a way to control the band gap of graphene, which is necessary for application of graphene in nanoelectronics. The purpose of this work is to investigate the systems that break an inversion symmetry of a hexagonal lattice. The electronic properties of armchair and zig-zag graphene nanoribbons are obtained and the dependence of the electronic properties on the edge effects is shown.