A 2D dual channel plasmonic demultiplexers for Surface Plasmon Polariton (SPP) waves is demonstrated. The structure is based on nano-grooves etched on Metal-Insulator-Metal (MIM) waveguide. Interference and resonance principles are used in the design. The operating wavelength of the demultiplexer can be easily manipulated by appropriately choosing the materials, spacing between the nano-grooves and size of MIM waveguide. These demultiplexers are numerically simulated using Finite Element Method (FEM). The simulation results match with that of the theoretical design. SPP waves of different wavelengths are separated specially by focusing them at different locations. Further a power efficient demultiplexer is proposed with compact footprint. The device shows high transmission efficiency with a narrow bandwidth. The proposed plasmonic demultiplexer can be used in telecommunication and data processing in next generation highly integrated photonic circuits.