Abstract: The Birkhoffan mechanics is more general than the Hamilton systems,but only for some dynamical systems can be applied by a Birkhoffan formulations.This paper explores a novel Birkhoffan formulations of the classical Bessel equation.Based on the first method of Santilli,Birkhoffan formulation of Bessel equation has been established.The Noether symmetric and quasisymmetric transformations of the Bessel equation have been established by introducing the invariance of the action under infinitesimal transformations,the criteria of corresponding symmetries are proposed.The Noether theorems of Bessel equation have been presented,and the conserved quantities have been obtained and n-th order classical Bessel equation has been studied to show the effectiveness of the proposed method.