A position estimation device including: a provisional position setting unit which sets current position information indicating an estimated current position of a wireless terminal; a distance estimation unit which estimates, using receiving strengths of signals received from plural wireless stations, distance information indicating distances from the plural wireless stations to the wireless terminal; a possible area calculation unit which calculates, using the distance information and map information indicating a spatial structure, an area in the spatial structure which can maintain the distances indicated in the distance information, as a possible area in the spatial structure in which the wireless terminal is likely to be present; and a correction unit which corrects the current position indicated in the current position information to a position within the possible area when the current position is outside the possible area.