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The synchrosqueezed wavelet transform (SST) is introduced to conduct analysis and processing of the acoustic emission (AE) signal in the welding process. The energy distribution of the signal in the time-scale plane is compressed and reorganized by SST, which obtains the time-frequency diagram of the AE signal. Meanwhile, the correlation coefficient is introduced as the criterion for removing the undesirable frequency components, which can effectively eliminate the noise and retain the characteristics of the welding crack AE signal. The test experiment of the AE signals in the welding process is designed. The time-frequency distribution characteristics of the AE signals in the welding process are described and extracted by SST, which is characterized by high aggregation and prominent instantaneous frequency information. Experimental results are provided to confirm the effectiveness of this approach to extract the AE signal physical information related to the welding crack.