The method and the device are applicable in household activities, industry, agriculture, forestry, etc. for exterminating pest animals (G), guaranteeing multipurpose operation, higher efficiency and productivity. The device consists of a passage (1) with an electrode (2) installed above its floor connected to a switch (3) that is connected to the phase of a high tension source (4). The floor is fixed on springs (5) arranged under and an enticement (6) is located in the passage (1), which is inclined and is placed on a rack (8), the enticement (6) being placed on its lower end, and its floor is a second electrode (7) connected with a pin (9) to the runner of a rheostat (10) connected to the zero lead of the high tension source (4). The springs (5) are arch-shaped sheets. To the upper clear of the passage (1) is positioned a replaceable chute (11) with a section according to the sizes of the largest animals to be exterminated. Under the lower clear of the passage (1) is positioned a second chute (12) to a container (13). In an orifice in the floor being placed a light emitter (14), and a light indicator (15) above it, its lead being connected to the first control input of the switch (3) and to the control input of a timer (15'), its output being connected to the second control input of the switch (3).