1. A lane recognition device, comprising: a lane mark detecting unit which executes a processing of detecting a lane mark partitioning a traffic lane of a road from an image of the road in the surrounding of a vehicle captured by a camera mounted on the vehicle in each predetermined control cycle; a data storing unit which sequentially adds and stores a detection presence/absence data indicating presence/absence of detection of the lane mark in each control cycle; a lane mark detection rate calculating unit which calculates a lane mark detection rate which is an average detection rate of the lane mark from the latest detection presence/absence data to the detection presence/absence data prior to the same by a predetermined number that are stored in the data storing unit; a lane mark position recognizing unit which recognizes a relative position of the vehicle and the lane mark on the basis of the detection result of the lane mark by the lane mark detecting unit, when the lane mark detection rate is higher than a predetermined reliability threshold value, and stops recognition of the relative position, when the lane mark detection rate is equal to or less than the reliability threshold value; a traveling state detecting unit which detects the fact that the vehicle is traveling in a intersection or a branching or a converging section of the road; and a detection presence/absence data addition inhibiting unit which inhibits addition of the new detection presence/absence data to the data storing unit, when the traveling state detecting unit detects that the vehicle is traveling in the intersection or the branching or the converging section of the road.