A triple combined gradient method was studied to determine the stability of nonholonomic systems of constant Chetaev′s type. Firstly,the definitions and differential equations of four classes of basic gradient systems and four classes of triple combined gradient systems were given. Secondly,the conditions,under which the corresponding holonomic systems of nonholonomic systems become triple combined gradient systems,were obtained. Therefore,the constant Chetaev nonholonomic systems can be transformed into various triple combined gradient systems. Finally,the stability of the system is studied by using the properties of the triple combined gradient system. The applications of this method were illustrated by four examples.