Abstract:This paper studied a type of conserved quantity deduced by the Lie symmetry for nonholonomic system with Chetaev type of the Nielsen equation. Firstly, the determining equations of the Lie symmetry for nonholonomic system with Chetaev type of the Nielsen equation were given under the infinitesimal transformation of groups. Secondly, the conditions of the existence of the type of conserved quantity of the system as well as its forms were obtained. And finally, an example was given to illustrate the application of the results.