Mueller matrix polarimeter using the axisymmetrical polarized and analyzed optics is proposed. The axisymmetrical optics has a potential to bring out the polarization properties of a sample which kept in beam spot. A key device of this method is a detector named "a ring beam detector". The concept of the detector is a topology and/or a projective transformation and the optical configuration of the detector consists of a conical mirror and/or a conical lens, a cylindrical screen and a CCD camera. To use a Fourier transform method, we can get Mueller matrix properties from the intensity distribution of the ring beam captured by the camera without a mechnically and electrically polarization modulation. In this paper, principles of axisymmetrical Mueller matrix polarimeter, the ring beam detector and basically experimental results are shown.