The microstructure of a polycrystalline binary alloys has offers a critical effect over the creep behavior and its characteristics, due to its vital role over the diffusion behavior of various atoms through the grain boundaries which leads to alter its mechanical and creep characteristics. In this study, the creep behavior of nickel-chromium binary alloy has been computed under compression mode under varying grain size (4.5 nm, 3.7 nm and 2.9 nm), pressure (1 GPa, 2 GPa and 3GPa) and the temperature (600 K and 900 K) to examine its influence over the creep characteristics of nickel-chromium binary alloy. Through this examination, it is found that the temperature has offer greater influence over the creep characteristics followed by the grain size and the pressure, owing to its superior influence over the diffusion behavior of nickel-chromium binary alloy. Additionally, the analysis of vacancy formation and the displacement of nickel and aluminum atoms have confirmed that the diffusion characteristic plays a vibrant role on the creep mechanism of nickel-chromium polycrystalline alloy.