The European Spallation Source (ESS) is one of Europe's largest research infrastructures, tobring new insights to the grand challenges of science and innovation in fields as diverse as material and life sciences, energy, environmental technology, cultural heritage,solid-state and fundamental physics by the end of the decade. The collaborative project is funded by a collaboration of 17 European countries and is under design and construction in Lund, Sweden.A 5 MW, long pulse proton accelerator is used to reach this goal. The pulsed length is 2.86ms and the repetition frequency is 14Hz (4% duty cycle). The choice of SRF technology is a key element in the development of the ESS linear accelerator (linac).The superconducting linacis composed of one section of spoke cavity cryomodules(352.21MHz) and two sections of elliptical cavity cryomodules (704.42MHz). These cryomodules contain niobium SRF cavities operating at 2 K, cooled by the accelerator cryoplantthrough the cryogenic distribution system.This paper presents the superconducting RF cavity and cryomodule cryogenic processes, which are developed for the technology demonstrators and to be ultimately integrated for the ESS tunnel operation.