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Proposed by telemetry acceleration vibration signals in time domain numerical integration and least-squares method to eliminate the influence of a combination of zero-drift precision of the results of the integration, namely the principle of least squares acceleration vibration signals in time domain numerical integration results in the form of trend items it contains according to polynomial fitting, obtain correction parameters, further integration results were corrected to obtain a correction value telemetry vibration velocity and displacement signals. Method on the application of the simulated signal error correction results and actual results is small, the results of high precision and validity of the method described, on this basis, the method in dealing with telemetry vibration acceleration signal is applied, in view of the method on the validity of the model simulation signal can be inferred telemetry speed and vibration displacement signal correction results obtained with a higher degree of confidence.