Autoresonant laser acceleration of the electron bunch V. P. Milantiev, S. P. Stepina Russian University of People’s Friendship, 6 Mikluho-Maklay str., Moscow, 117198, Russia -mail: vmilantiev@sci.pfu.edu.ru The autoresonant acceleration of a relativistic electron beam injected near focal point of the laser radiation of the main mode is considered. <...> It is shown that a tubular electron beam is generated at the distance of the order of twice Rayleigh length. <...> The width of the beam and the average energy depend on the conditions of injection. <...> Рассмотрен механизм авторезонансного ускорения релятивистского сгустка электронов, инжектируемых вблизи фокальной плоскоспш лазерного излучения основной моды. <...>