Using the observational data of total solar irradiance (TSI) from 1976 to 2006, the evolution of total solar irradiance and the relationship between TSI and sunspot number (SSN) have been analyzed with the wavelet technique. The results of the continuous wavelet transform (CWT) indicate that the TSI has multi-scale evolutionary characteristics. In the low frequency band, the TSI and SSN show similar variation with a significant and steady oscillation period from 8 to 11.4 a. While in the high frequency band, only around the maximum time of solar cycles, both the TSI and SSN present a significant intermittent oscillation period from 2 to 6 months. The results of the cross wavelet transform indicate that there is significant in-phase resonance oscillation between the TSI and SSN in 8-11.4 a band, where the variation of the SSN is 2 months ahead of that of TSI. Those results confirm the SSN as the primary cause for TSI's periodic variation in the time scale of 8-11.4 a. However for the 2-6 month band, significant resonance periodicity is observed only within the maximum time of solar cycle, but the phase relationship between the TSI and SSN is unsteady. Finally, a reliable TSI monthly series from 1878 to 1975 is reconstructed and tested.total solar irradiance, sunspot number, cross wavelet, phase relationship, reconstruction Citation:Yang R W, Cao J, Huang W, et al. Cross wavelet analysis of the relationship between total solar irradiance and sunspot number.