The invention belongs to the technical field of high-precision angle measurement, and relates to a high-precision dynamic angle measuring device and method. The high-precision dynamic angle measuring device comprises a spacial four-frequency differential laser gyro, a flexible cable, a gyro control / demodulator circuit, a round inductosyn, an inductosyn demodulator circuit, an angle increment signal processing circuit, a connection bus, and an angle measuring computer. In the high-precision dynamic angle measuring method, the measured inertia spacial angular speed projection component on the sensitive axis of spacial four-frequency differential laser gyro is utilized to precisely obtain the inertia spacial angular speed component on the gyro sensitive axis in the current position by using an interpolation method according to the angular position output of the round inductosyn; moreover, in the gyro output, the current inertia spacial angular speed component is eliminated, and thus the angle measurement precision is largely improved. For the output of spacial four-frequency differential laser gyro, the angular speed integral time can reach the microsecond level. A spacial four-frequency differential laser gyro with a scale coefficient, which can be highly segregated, is adopted; and the provided device and method have the advantages of high angle measurement precision, large dynamic range, no counter-torque effect on measure carrier, small temperature coefficient, and good practical application value.