A brushless linear rotary transformer apparatus for determining angular position and velocity of a rotor includes a rotor, a stator, a primary coil winding, pairs of secondary coil windings, bearings, an excitation power supply, and a signal receiving and processing system. The primary coil winding is wrapped around a hollow cylinder body on one end of the stator. One end of the rotor shaft is arranged in the hollow cylinder body. Another ends of the rotor shaft and the stator are connected by a bearing. Pairs of secondary coil windings are embedded in the stator and on the inner side of the stator. An alternating magnetic field is generated by the excitation power supply through the primary coil winding. The amplitudes of the induced electromotive force at the ends of the secondary coil windings are linearly proportional to the angular position of the rotor. The signal receiving and processing system samples and processes the signals of the electromotive forces from the secondary coil winding, and outputs the parameters concerning the angular position, the angular velocity, and the rotation number of the rotor. The brushless linear rotary transformer has advantages of simple and reliable structure, which can be applied to measure the angular displacement and the angular velocity in multiple turns.