We propose an effective scheme to enhance $N$-photon bundle emission of the squeezed mode via parametric driving. By placing a ${\chi }^{\left(2\right)}$ nonlinear medium and a typical two-level qubit into a cavity, the atom-cavity coupling strength is greatly enhanced while an additional squeezed reservoir is introduced to suppress noise amplification. As a consequence, it is demonstrated that the emitted probabilities of two-photon bundles are obviously increased, whereas the purity remains nearly unchanged. Remarkably, even for the more challenging case of three-photon bundles, our scheme still achieves a significant enhancement in their generation. The light resource with squeezed photons may find potential applications in quantum sensing technology and quantum metrology.

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• Cavity quantum electrodynamics
• Photon statistics
• Quantum states of light
• Squeezing of quantum noise