The important problem for rocket-space, aviation and transport equipment fields is designing high-resource electric pumps. Electric pumps are active energy conversion devices to provide the thermal control system operation. Electric pumps failure leads to fault of the interfaced equipment, system failures and significant economic damage accidents. The most unfavorable factor for electric pump reliability is vibration. That the reason of relevance, practicability and importance to research the electric pumps vibration activity, the reasons for the appearance of vibrations and ways to control them. The paper provides the main sources of electric pump of the spacecraft vibrations as mechanical, hydrodynamic and electrical. This paper presents the recommendations of foreign and domestic authors to control each vibration source. To solve the problem of reducing the electric pump vibration activity the research of the technical level of existing developments, results, main technical solutions and technical solutions trends was produced. The main directions of further electric pump vibration activity researches leading to decreasing of vibration activity were defined on this paper.