The stability for equilibrium state of rotational relativistic Birkhoffian systems is studied.The equilibrium state equations, the disturbance equation and the first approximation equation are given.The stability criteria for equilibrium state,and the stability criteria of the direct method for the rotational relativistic Birkhoffian autonomous systems are obtained.The relationship of the stability of equilibrium state between rotational relativistic Birkhoffian systems and rotational classical Birkhoffian systems are discussed. Two examples are presented to illustrate the results.