Abstract: The work on "Lie group and KDV equations" has been done in[1].From the structure equations of certain Lie Group,a class of evolution equations of Sine-Gorden type may be achieved.In this paper from a new viewpoint introduced in[2],we will derive a class of evolution equations of Sine-Gorden type.Furthermore we have given geometric interoretations for our evolution equations of Sine-Gorden type.The evolution equations of Sine-Gorden type which have been got in[3]are a special class of our paper.