Abstract: The linear canonical transform is a useful tool for signal processing.It is the generalization of the Fourier transform and the fractional Fourier transform.The Wigner distribution function and the ambiguity function are both well-known time-frequency representations.Originally using the properties of Wigner distribution function and the ambiguity function,as well as with the help of the decomposition of the linear canonical transform matrix,it is discribed the relations between the time-frequency distributions and the linear canonical transform and gave geometric interpretation for it.All of these work will help to research the applications of the linear canonical transform on the time-frequency signal analysis.