Described is an autonomous lawn mower robot comprising motor means (2) designed to allow the movement of the robot (1) in a substantially automatic manner along a cutting trajectory (T) and means (5) for cutting the grass. The robot (1) also comprises an antenna (6) configured to receive wireless signals from the at least one personal device (7) which can be coupled with the antenna (6) and a control unit (8) configured to determine a relative distance of the at least one wireless device (7) with respect to the robot (1) by means of the information contained in the wireless signals received from the antenna (6). The control unit (8) is further configured for determining the cutting trajectory (T) of the robot (1) and activating/deactivating the cutting means (5) as a function of the relative distance detected.