Stochastic resonance and stochastic multi-resonance of a cancer growth model modulated by non-Gaussian noise and Gaussian noise are investigated in terms of the path integral approach and the adiabatic limit. The expression of signal-to-noise ratio (SNR) is obtained. The numerical results indicate that the SNR exhibits stochastic multi-resonance behavior when the SNR is a function of the multiplicative noise intensity, additive noise intensity, or the parameter of the non-Gaussian noise q. Meanwhile, it is also shown that the cross-correlation intensity and the self-correlation time can enhance the phenomenon of stochastic resonance.