A method of estimating curvature of a lane in front of a vehicle includes obtaining a reference distance, a reference angle, a reference curvature, and a reference change-rate, based on an image captured by a front camera of the vehicle; calculating respective estimation distances, by which the specific portion of the vehicle will be estimated to be spaced apart from the first extension line, at a plurality of target distances, on a transverse straight-line of the vehicle spaced apart from the vehicle by a predetermined target distance in the forward direction along a second extension line extending from the specific portion of the vehicle in the forward direction of the vehicle, based on the reference distance, the reference angle, the reference curvature, and the reference change-rate; and calculating the curvature of the lane in front of the vehicle based on the respective estimation distances at the plurality of target distances.