The superfluid gyroscope is an interferometric gyroscope based on the matter wave, which faces a problen that output noises very high, so its potential of high-accuracy cannot be exerted. Therefore, based on the principle of superfluid gyroscope, and its state equation and measurement equations are deduced, and its movement model is studied. Then, the measurement equation is linearized at the working point with the Taylor series expansion, an EKF method of superfluid gyroscope is presented, and the gyroscope noise is suppressed by the way of signal process. Simulation result shows that the error of angular velocity detected value is improved greatly by using the proposed method, and the detected accuracy of superfluid gyroscope increases remarkably.