Laser collimation technology is widely applied in the positioning and measurement. Because the accuracy is affected by the laser beam drift, so laser beam drift compensation is necessary. The complexity of sources and forms of laser beam drifts affect the compensation effect. The noise signals caused by electronic noise, laser source, and environment, are analyzed in detail. Further, the parallel drift and angular drift of various types of beam drift signals are estimated and the effectiveness of low-pass filter and mean process are verified and compared. This study is beneficial to analyzing various types of noise signals and building a more effective compensation models for laser beam drift.