Controlling valley physics of carriers is crucially important for valleytronics. Current studies are mainly based on spin orientation reversal driven by magnetic means, which is less favored in terms of efficiency. Here, through first-principles calculations and effective model analysis, we demonstrate the control of valley physics and anomalous valley Hall effect (AVHE) via electric means in ferroelectric ferrimagnetic single-layer $\mathrm{C}{\mathrm{e}}_2\mathrm{C}{\mathrm{O}}_2$. This system exhibits intrinsic ferro-valleytricity, arising from the synergistic effect of symmetry breakings and spin-orbit coupling. Notably, its ferroelectric transition is associated with unconventional lattice breathing of Ce atomic trigons, which facilitates the realization of electrically switchable valley physics and AVHE, generating the long-sought ferroelectrovalley phenomenon. Through effective model analysis, we elucidate the fundamental mechanisms underlying these phenomena, highlighting the crucial role of ferroelectricity-driven staggered trigonal breathing modes. Our findings not only provide a paradigm for valley reversal manipulation but also significantly advance the frontier of valleytronic research.

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• Anomalous Hall effect
• Ferroelectricity
• Valleytronics
• 2-dimensional systems
• Honeycomb lattice
• First-principles calculations