A method and assembly for recovering oil using elastic vibration energy involves placing a downhole apparatus in a well, which downhole apparatus is connected to aboveground power supply units and contains an ultrasonic transducer that provides for the generation of high frequency elastic vibrations, exciting elastic vibrations of different frequencies and then repeatedly applying the elastic vibrations to the oil formation, wherein both high and low frequency vibrations are applied to the formation. The low frequency vibrations are generated with the aid of an electric pulse device which is connected to an aboveground power supply and includes the following electrically interconnected components: a charger, a unit of energy storage capacitors, a discharge unit with electrodes, and two switching devices. The method and assembly make it possible to recover oil from depths of over 2000 meters and to act effectively on the formation being treated.