Nanotechnology using complex molecular structure as human cells and 100 times stronger than steel, is going to start an industrial revolution. This technology with manipulating atoms structure is going to change new product and manufacturing method. In away the products are small, strong and light. This feature causes this technology to be used in different aspect of human life such as agriculture, medicine, industrials, etc. One of the most important nanotechnology products are graphene plates. These plates is going to be used in electronical and mechanical devices and machines. Consequently analysis of mechanical behavior of graphene plates have been considering. Three method are available for mechanical analysis of this plate. These methods includes experiments in nano scale, simulation with molecular dynamic and analysis with non-local theory. In this thesis with using principle of virtual work and Eringen’s non-local elasticity theory, governing equation of triangular nanoplate is obtained and using finite difference method as numerical method aforementioned equations for simply support and clamped boundary condition have been solved. Calculated results are verified through numerical method. Also the effect of such parameters as pressure ratio, aspect ratio and non-local variable for triangular nanoplates evaluated on non-local buckling load. Keywords: Buckling load, Non-local elasticity theory, Triangular plates, Finite difference method, ‌Nanoplate, Eringen’s theory