Weyl metal prediction and anomalous Hall effect in hexagonal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>Fe</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mi>MnSn</mml:mi> </mml:mrow> </mml:math> alloy

The topological band structure is fundamental to condensed matter physics. This study identifies hexagonal D0${}_{19}$-II type Fe${}_{2}$MnSn as a magnetic Weyl metal. First-principles calculations reveal symmetry-protected Weyl nodes near the Fermi level, yielding large intrinsic anomalous Hall conductivity (AHC). Experiments shows an AHC of 303 \ensuremath{\Omega}⁻\textonesuperior{} cm⁻\textonesuperior{} at 10 K, with 92.7% attributed to Berry curvature, confirming dominant topological transport and establishing it as an ideal platform for exploring Berry curvature effects in topological magnetic materials with multiatomic configurations.