An object is to enable high-accuracy position estimation of a wireless terminal station by efficiently performing connection between a wireless base station and the wireless terminal station using multiple distributed antennas. A position estimation apparatus configured to estimate a position of a wireless terminal station between a wireless base station that can perform transmission and reception by switching between a plurality of distributed antennas arranged in a distributed manner via cables with known lengths, and the wireless terminal station configured to communicate with the wireless base station, includes: a means 1 for measuring a no-delay RTT or measuring a statistical processing RTT when the wireless base station exchanges a measurement signal and a response signal with the wireless terminal station in each of the distributed antennas and measures an RTT, which is a round trip time between the wireless base station and the wireless terminal station, a delay time having been removed from the no-delay RTT using a reception time of the measurement signal and a transmission time of the response signal, and the statistical processing RTT being measured using statistical processing for making the delay time constant using a plurality of instances of exchanging a measurement signal and a response signal; and means 2 for estimating the position of the wireless terminal station based on the no-delay RTT or the statistical processing RTT of each of the distributed antennas.