Topological transport phenomena, such as transverse charge, spin, or thermoelectric effects, have attracted significant attention due to both fundamental challenges in their interpretation and their promising spintronic functionalities. Among the most studied phenomena is the anomalous Hall effect (AHE) which can arise from momentum-space or real-space Berry curvature. In most materials, the anomalous Hall response remains below ${10}^3\mathrm{S}/\mathrm{cm}$, with larger values often attributed to extrinsic mechanisms. Here we show that ${\mathrm{CeCoGe}}_3$ exhibits a giant field-induced anomalous Hall conductivity (AHC) exceeding ${10}^5\mathrm{S}/\mathrm{cm}$. We carefully evaluate the intrinsic and extrinsic contributions by comparing samples of different longitudinal conductivity. Remarkably, the intrinsic AHC is over an order of magnitude larger than that of other topological materials, and is the largest value reported to date. Our findings promote ${\mathrm{CeCoGe}}_3$, a noncentrosymmetric strongly correlated Kondo Weyl metal as a platform to study giant anomalous Hall responses.

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• Anomalous Hall effect
• Topological Hall effect
• Weyl fermions
• Heavy-fermion systems