Method for monitoring and navigating a vehicle with electric drive moving towards a predetermined target along a navigated route with an off-line navigation device, comprising the steps of: - preparing a table relating to the vehicle when moving with a predetermined speed and under a predetermined load; - storing associated data in an electronic memory; - in said storing step, storing the consumption of the vehicle when moving a unity distance along a horizontal road with a predetermined speed; - then storing corrected consumption values as a function of positive or negative angles of inclination along a road section of unity length that represents the ratio of experimentally determined consumptions of the vehicle at any given angle of inclination to the consumptions along the horizontal road of unity length; - storing map data of a map comprising said route in an electronic data storage unit, wherein said data also include altitude and/or steepness information; then, following the start of the vehicle: - monitoring, in given time intervals, the momentary storage capacity of the battery of the vehicle; - dividing the remaining route leading to the target into a plurality of road sections so that each road section has a respective uniform angle of inclination, wherein the meeting points of neighbouring sections are referred to as knot points and the sections interconnecting the knot points are referred to as edges, and - in case of each of said edges, and based on said stored data, determining a respective weighted cost associated with said edge, wherein the cost associated with the respective edges will be the weighted, i.e. corrected, distance of the edges, this being the consumption associated with taking this corrected distance; - calculating the sum of the respective costs starting from the momentary position to define the consumption until the target is reached, and - comparing the expected consumption with the momentary storage capacity of the battery, and if the expected consumption is higher than the momentary storage capacity of the battery, - warning the driver of the vehicle, and together with or instead of the warning, - searching alternative routes by known route re-planning technique between the momentary position of the vehicle to the target, and if such routes are found, - calculating for each alternative routes the expected consumption till the target, and if there exists an alternative route along which the consumption of the vehicle is expected to be under the measured available capacity of the battery, - suggesting this alternative route to the driver and, in case of an acceptance by the driver, - navigating the driver to the target. - preparing a table relating to the vehicle when moving with a predetermined speed and under a predetermined load; - storing associated data in an electronic memory; - in said storing step, storing the consumption of the vehicle when moving a unity distance along a horizontal road with a predetermined speed; - then storing corrected consumption values as a function of positive or negative angles of inclination along a road section of unity length that represents the ratio of experimentally determined consumptions of the vehicle at any given angle of inclination to the consumptions along the horizontal road of unity length; - storing map data of a map comprising said route in an electronic data storage unit, wherein said data also include altitude and/or steepness information; - monitoring, in given time intervals, the momentary storage capacity of the battery of the vehicle; - dividing the remaining route leading to the target into a plurality of road sections so that each road section has a respective uniform angle of inclination, wherein the meeting points of neighbouring sections are referred to as knot points and the sections interconnecting the knot points are referred to as edges, and - in case of each of said edges, and based on said stored data, determining a respective weighted cost associated with said edge, wherein the cost associated with the respective edges will be the weighted, i.e. corrected, distance of the edges, this being the consumption associated with taking this corrected distance; - calculating the sum of the respective costs starting from the momentary position to define the consumption until the target is reached, and - comparing the expected consumption with the momentary storage capacity of the battery, and if the expected consumption is higher than the momentary storage capacity of the battery, - warning the driver of the vehicle, and together with or instead of the warning, - searching alternative routes by known route re-planning technique between the momentary position of the vehicle to the target, and if such routes are found, - calculating for each alternative routes the expected consumption till the target, and if there exists an alternative route along which the consumption of the vehicle is expected to be under the measured available capacity of the battery, - suggesting this alternative route to the driver and, in case of an acceptance by the driver, - navigating the driver to the target.