Received signal strength (RSS) based fingerprinting localization technique has been researched widely for the indoor location based services (LBSs) in recent years. However, the accuracy performance suffers from the time-varying characteristic of RSS due to the multi-path and shadow effect. In this paper, we propose a fingerprinting positioning system based on power delay profile (PDP). The system extracts the PDP of the multi-paths from the cross-correlation result between the received signal and the reference signal. In the offline phase of the system, a PDP fingerprint database is constructed via calibrating the PDP of each access point (AP) at each reference point (RP). In the online phase, a PDP similarity matching algorithm is designed to mitigate the error caused by the time-variation of RSS, and further to obtain the final location estimation. Numerical experimental results show that the proposed system can obtain higher localization accuracy than other existing positioning systems.