A two-dimensional magnetohydrodynamic simulation of a reflection dynamics on a field-reversed configuration (FRC) plasma is carried out by numerically modeling the confinement region of the FRC Injection Experiment (FIX) machine. It is shown from the simulation results that the FRC plasma is reflected by the downstream magnetic mirror field without severe destruction of the closed magnetic flux surfaces even when injected with supersonic velocity into the magnetic mirror region, showing the robustness of the FRC against external perturbations. The effects of the magnetic minor field and the translation velocity on the FRC plasma are discussed.