The paper summarizes the basic outcomes of the several years of research on the Fresnel zone plate lenses and antennas accomplished at the Eindhoven University of Technology (EUT). Added are also some results obtained at the Technical University of Vama (TUV) as an extension of the joint work on the subject between the EUT and the TUV initiated under a CEC/COST research contract. In this paper, we pay attention to the transmission Fresnel zone plates and Fresnel zone plate antennas only.