The perturbation theory was used to analyze the influence of cavity deformation on the resonance frequency drift, and the feasibility of the boundary deformation reverberation chamber was demonstrated theoretically. The influence of the boundary deformation parameters on the uniformity of the electric field in the space of the reverberation chamber was obtained by calculation. A design method of boundary deformation reverberation chamber with flexible shielding cloth as the cavity material and stepping motor controlling the surface deformation of the cavity was proposed. The statistical characteristics of the electric field were tested experimentally. And the results show that the electric field inside the reverberation chamber obeys the Rician distribution, and the consistency with the theoretical model becomes better as the frequency increases; when the deformation amplitude reaches 400 mm, the internal electric field perturbation ratio of the cavity was greater than 20 dB. The standard deviation of the electric field was less than 3 dB, which meets the limit requirements of electromagnetic compatibility on the uniformity of the platform.