Synthesizing ranking functions of polynomial loop programs is the dominant method for checking their termination. In this study, the synthesis of ranking functions of a class of polynomial loop program is reduced to the binary problem. The support vector machine (SVM) technique then is applied to solve such the binary problem. This naturally relates detection of ranking functions to SVM. Different from the CAD-based method for synthesizing ranking functions, the proposed method can get more expressive polynomial ranking functions in an acceptable time.