A trap 1 has a frame 3, a striking bar 5 connected to the frame for killing a mouse or rat and a retaining bracket 7 attached to the striking bar, which is blocked in standby position by a blocking pawl 11 which can be released by an actuating element 13. A spring 9 is present between the striking bar and the frame, which striking bar hits the frame after activation. The trap is provided with a first sensor 17 which determines whether the striking bar is present in the standby or activated position, and a second sensor 19 which determines whether a mouse is present between the frame and the striking bar or not. A transmitter periodically sends the status of the sensors. The trap can determine three situations with the two sensors: standby, tripped and tripped with a mouse in the trap. This allows the status of the trap to he properly monitored.