A high-speed and non-contact angle measuring method based on the principle of optical triangulation distance measurement was presented. Two laser displacement sensors were used to measure the angle when the angle of the target changed,which could calculate one dimensional motion angle of the target in real time. The experiment of angular measuring range and precision of the measurement system was carried out on the swing turntable,and fiber optic gyroscope was used to realize real-time synchronous measurement of the angle,and then the error was compensated by the least square fitting method. The experimental results show that the range of angle measurement can be up to ±10°,the precision can reach ±0.005°,and the measuring frequency can be up to 2000 Hz. This method adopts non-contact optical measurement method,and it has no damage to the measured surface.