Abstract: Based on the successful numerical simulation of the two-dimensional steady heat conduction problem with the Finite Control Volume method (FCV),two methods to solve the two-dimensional steady Inverse Heat Conduction Problem (IHCP),namely,the Sensitivity Method (SM) and the Adjoint Equation Method (AEM),are introduced.After the SM and the AEM are applied to a typical boundary condition inversion problem in a circular domain and the influence of the measurement noise to the inversion accuracy is analyzed,it is shown that both the SM and the AEM are feasible and effective to deal with the two-dimensional steady IHCP.