The drive-by monitoring of bridges using indirect measurements from passing vehicles for bridge monitoring overcomes the expensive, time-consuming and very dangerous drawbacks of the previous method of installing many sensors on structures for health monitoring. Therefore, it has received a lot of attention from research scholars. Wavelet analysis has been increasingly used in drive-by bridge inspection techniques due to its robustness and sensitivity to discontinuities in the signal and has achieved some results. In this paper, we introduce the three parts of bridge structural health monitoring, drive-by technique and wavelet transform, and systematically summarize and summarize the literature related to driving monitoring based on wavelet analysis for detecting local damage of bridges to fill the existing research gaps.