This paper presents a transient model for planar solid oxide fuel cells anode, which allows the simulation of steady-state performance characteristics, transient operation behavior, as well as electrochemical impedance spectra. The developed model couples the mass transport with electrochemical kinetics. The 1D Navier-Stokes conservation equations and species conservation equations are used for gas transport in the anode channel, and the linear kinetic is used for the anode electrochemistry. In order to model the electrochemical impedance, a sinusoidal excitation is imposed to system of transient equations and the obtained harmonic response is used as a base for electrochemical impedance spectra simulation. In order to solve the system of the nonlinear equations, a numerical code based on finite volume method is developed and utilized. Results show that the mass transfer in channel leads to a low frequency capacitive semicircle in the Nyquist plot. Moreover, the influence of parameters such as overvoltage, temperature, velocity and hydrogen inlet concentration on the electrochemical impedance has also been studied and the results are discussed. The simulation results are in good agreement with published data.