Abstract: This paper gives three new standard forms of ITAE optimum transfer function,their frequence characteristics and step responses,discusses the dialectical unity between the sole and nonsole resolutions for the ITAE optimum controllaw. Finally,the application of new standard forms of ITAE optimum transfer function to realize the tiwce optimum control of second or dersystem with deadtime is discussed. The results show that the perfo rmance of the X-Y type is better than the one of the G-L type.