Abstract: The motion equations of nonlinear nonholonomic rotational relativistic systems in Poincaré Chetaev variables are studied.Firstly,the equations of Chaplygin's form,Nielsen's form and Appell's form are derived by the DAlembert Lagrange's principle.Then the equivalent problem of the Chaplygin's equation to the Appell's equation and the relative relations between rotational relativistic analytical mechanics and the classical analytical mechanics is discussed.