Around the world, positioning in open environments has been done via satellites. Satellite positioning systems require a direct line of sight (LOS) with satellites to provide high accuracy. Due to physical objects and potential interference sources, it is almost impossible to use satellite positioning systems in indoor environment, thus Indoor Positioning Systems (IPS) have been developed. We have implemented an IPS based on Bluetooth Smart Technology for signaling between transmitter and receivers. Besides, Trilateration and Linear Least Squares methods have been used to determine the position of the transmitter together with the radio received signal strength (RSS). The estimated values have been optimized by the Newton Raphson iteration method. In the implemented system, person of interests or items are not required to possess mobile devices. It is enough to carry Bluetooth Beacon devices which are cheap and efficient in terms of power consumption.