Plasma filling can dramatically improve the performance of high power microwave devices. The characteristics of high-power microwave propagation along plasma filled waveguides in an axial magnetic field are analyzed in this paper, and the ponderomotive force effect of high power microwave is taken into consideration. Theoretical analysis and preliminary numerical calculations are performed. The analyses show that the ponderomotive effect would change the plasma density, distribution of microwave field intensity, and dispersion of wave propagation. The higher the microwave power, the stronger the ponderomotive effect. In different magnetic fields, the ponderomotive effect is different.