The results of modeling linear electric Vernier generators with flat translators for wave power plants are presented. In paper we consider the design with elements made of high-temperature superconducting material (HTS), which are installed in magnetic core to reduce the leakage of magnetic flux. This type of generator is mounted in float power plants with a direct drive from a reciprocating float that transmits high forces at low speeds. For the calculations, we used a technique for modeling the properties of HTS, based on the representation of the induced currents in a superconductor in the form of magnetic moments of these currents, which made it possible to simplify the analysis of the electromagnetic field in the generator without significant additional errors.