In metallurgy, chemical industry, machinery and other enterprises， the value of vibration in rotating machinery is measured by the acceleration sensor. Utilizing the integral and differential relation among displacement, velocity and acceleration, the velocity and displacement of the semaphore can be gotten through integral of the acceleration signal. The integral transform of the vibration signal can utilize hardware circuit integral, software numerical integral, and Fourier transform and Laplace transform differential theorem. Least square method can be used to eliminate trend term produced by integral transform, which could make the signal more accurate and reliable. The paper discusses the possibilities of using the least squares method to eliminate the trend term, design of hardware integral circuit, common methods of software numerical integral and Fourier transform methods. Finally, this paper analyzes various integral methods in detail by simulation and experiment, and provides an optimized design for vibration signal integration processing.