A traveling path estimation apparatus includes a calculation section that calculates a traveling marking line marking a lane of a road, on which a vehicle runs, based on a front image acquired by a camera mounted in the vehicle, an estimation section that estimates road parameters including a curvature and a curvature change rate of the lane, the estimation section estimating the road parameters at current time based on the traveling marking line calculated by the calculation section and the road parameters previously estimated, a determination section that determines departure of the vehicle from a curve of the lane, and a reset section that, when the determination section determines the departure of the vehicle, resets at least the curvature change rate included in the road parameters previously estimated by the estimation section.