Abstract: The previous research on the symmetry and conserved quantities of the restraint dynamics system Tz閚off equation has focused on the general Tz閚off equations.In order to explore the Mei symmetry and conservation quantities of the generalized Tz閚off equations,we have established the generalized Tz閚off equations in the two mechanics states of complete restraint and nonholonomic restraint firstly.The definition and criterion of the Mei symmetry under the group's infinitesimal transformation have been offered.Furthermore,the necessary condition of the conserved quantities produced by the Mei symmetry are researched and the function expression of the new conserved quantities and the conditional equation that derives the conserved quantities have been presented.As long as the standard function satisfying the conditional equation is found,the new conserved quantities invariably exist in this system.