The triple combination gradient representation of Nielsen equation and the stability of the zero solution of the equation are studied. First, four kinds of triple combination gradient systems and their properties are given. Secondly, the conditions for transforming Nielsen equations of complete and nonholonomic systems into triple combination gradient systems are given; The two types of Nielsen equations are respectively transformed into triple combined gradient systems and the stability of the zero solution of the equations is studied. Finally, examples are given to verify the application of the results.