Making use of the transformation of constitutive relations for electromagnetic waves and the transformation of the wave vector in Minkowski space, we have worked out the theory of wave propagation along a waveguide filled with moving magnetized plasma (MMPW). The dispersion equations of the wave propagation in a circular MMPW are given in this paper, along with a detailed discussion of their behaviors. Numerical calculations show that there are many interesting and important features of the wave propagation along an MMPW compared with that in a stationary magnetized plasma-filled waveguide (MPW).