Position measurement is one of the primal problems in wide range of applications such as air/land/marine vehicles tracking, automation systems, and equipment tracking in medical sector, robotics and sensor networks. Location information in outdoor application can be easily obtained from well-known systems such as GPS and GLONASS. Since GPS signal is not available in indoor area, several positioning systems have been developed for. But there is not a consensus for indoor positioning systems like the outdoor. In this study, a positioning system that uses ultrasonic and infrared signals is designed and implemented. The system is tested in 4m2 coverage range and it is observed that the maximum absolute error is less than +/-2 cm.