Aerodynamic heating calculation of a hypersonic body is normally performed during the critical part of its flight trajectory. This requires solution of inviscid flow field around the hypersonic body and most crucially around its nose, for several times. In this paper, using Thin-Shock-Layer theory, three- dimensional Euler equations are transferred to a shock-oriented coordinate, and by implementing appropriate approximations, an inverse method is applied for the calculation of flow field between the shock wave and the body surface. Based on the nose shape of a hypersonic body flying at M ∞ a three-dimensional shock geometry is first estimated. Using explicit formulations obtained from the inverse method, inviscid flow field behind the shock wave is numerically calculated. From this calculation the resulted surface with zero stream function corresponds to a nose that has produced the estimated shock wave. Based on the error between this nose and the real one, the 3D shock shape is repeatedly changed until the calculated nose matches the real one. Using this engineering approximate method, which is very fast, all of the flow variables can be determined in the solution domain. An excellent agreement is observed between the results obtained in this paper and those calculated by others or extracted from experiment. Since the method is very fast it for preliminary design, or parametric study of vehicle aerodynamics and thermal protection at hypersonic flows. Such a fast method is also desirable for making initial conditions suitable for CFD codes.