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In this paper, open-ended coaxial probe is studied to make nondestructive EM-properties of planar and convex surface coating material testing. An error analysis was performed to investigate the influence of the flange diameter and the radius of convex sample variation on the reflection coefficient. A cylindrical 2-D FDTD code was developed and used for this analysis. It is found that the reflection coefficient affected for small radii of convex sample. Comparing with the analytical solutions based on the spectral-domain model, the FDTD modeling results of the constitutive parameters ε* and μ* for planar and convex samples were in agreement with the published data by companies. Results of the FDTD simulations and experiments are presented.