A driving support device includes a maximum measurement range determination unit adapted to calculate a distance to a plurality of points on a surface of an object present at surroundings of a vehicle. A distance sensor such as a laser range finder or a stereo camera that measures a distance is used in order to estimate bias of an acceleration sensor with high accuracy upon correction of the bias by use of the distance sensor such as the stereo camera or the LRF in a GPS non-receiving section. A sensor parameter estimation unit is adapted to estimate a parameter of the acceleration sensor based on a behavior of an own vehicle obtained from a vehicle translation and rotation angle calculation means adapted to count backwards the vehicle behavior based on distance variation and also based on a measurement value of the acceleration sensor.