Abstract: Holzer-Myklestab transfer .mathed is one of the general methods which deals with the structural dynamic analysis, With the aid of the method the rates of change of the structural natural frequency mode shape and its node （or peak point） coordinate are studied in the paper. This enables us to use the more effi-cient optimal method by using derivatives for structural dynamic optimization The equations for the rate of change are derived in detail and the typical example is given in the paper.It's shown from computer calculation that its results coincide fully with calculating results of finite element method. Therefore, the present method is effective and applied efficiently to the engineering practice.