Abstract: Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result.