Microwave cavities designed for paraelectric resonance (per) at 10, 35 and 70 GHz are described. They satisfy the following conditions required by per experiments. The static electric field E0 must be sufficiently uniform to avoid line broadening because of field distortions, the quality factors Q(3000 at 10 and 35 GHz, 15000 at 70 GHz) must be high enough for the use of an automatic frequency control and it must be possible for the samples to be put into the cavities without mechanical distortions. In addition, at 10 and 35 GHz a uniaxial stress P up to 600 kgf cm-2 parallel to the static field E0 must be applied. At these frequencies, cylindrical cavities resonating in TM010 and TM020 modes respectively are used. At 70 GHz a tunable capacity-loaded coaxial resonator was constructed. In order to increase the Q value of this cavity the surface is coated with a superconducting film of lead. The frequency can be varied between 60 and 75 GHz.