A magneto-nonlinear anomalous Hall effect (mNLHE) has been experimentally observed in the kagome ferromagnet Fe₃Sn₂. This effect is characterized by a large anomalous Hall current that is linear in both applied in-plane electric and magnetic fields. The study combines experimental measurements with first-principles calculations to demonstrate that the mNLHE in Fe₃Sn₂ arises from the intrinsic quantum geometric properties of Bloch electrons, specifically the anomalous orbital polarizability (AOP). The mNLHE is governed by the orbital contribution, which is significantly enhanced near band degeneracy regions and dominates over spin contributions in materials with complex band structures. Fe₃Sn₂ is a soft ferromagnetic semimetal with a high Curie temperature of 657 K. Its structure consists of breathing kagome Fe₃Sn bilayers and Sn honeycomb layers stacked along the c-axis. The material exhibits a unique in-plane Hall effect, with the Hall resistivity showing a strong angular dependence and a significant contribution from the orbital mechanism. The mNLHE is observed to be temperature-dependent, with the orbital contribution dominating at low temperatures. Theoretical analysis confirms that the mNLHE in Fe₃Sn₂ is primarily due to the AOP, which is enhanced by the band crossing features around the Fermi level. The calculated nonlinear conductivity tensor is consistent with experimental results, showing a strong dependence on temperature and magnetic field. The results demonstrate the significance of the quantum geometry of electron wave functions from the orbital degree of freedom and open up a new direction in Hall transport effects. The study provides insights into the role of quantum geometry in determining the properties of quantum materials and highlights the potential for controlling topological band features through orbital tunability.A magneto-nonlinear anomalous Hall effect (mNLHE) has been experimentally observed in the kagome ferromagnet Fe₃Sn₂. This effect is characterized by a large anomalous Hall current that is linear in both applied in-plane electric and magnetic fields. The study combines experimental measurements with first-principles calculations to demonstrate that the mNLHE in Fe₃Sn₂ arises from the intrinsic quantum geometric properties of Bloch electrons, specifically the anomalous orbital polarizability (AOP). The mNLHE is governed by the orbital contribution, which is significantly enhanced near band degeneracy regions and dominates over spin contributions in materials with complex band structures. Fe₃Sn₂ is a soft ferromagnetic semimetal with a high Curie temperature of 657 K. Its structure consists of breathing kagome Fe₃Sn bilayers and Sn honeycomb layers stacked along the c-axis. The material exhibits a unique in-plane Hall effect, with the Hall resistivity showing a strong angular dependence and a significant contribution from the orbital mechanism. The mNLHE is observed to be temperature-dependent, with the orbital contribution dominating at low temperatures. Theoretical analysis confirms that the mNLHE in Fe₃Sn₂ is primarily due to the AOP, which is enhanced by the band crossing features around the Fermi level. The calculated nonlinear conductivity tensor is consistent with experimental results, showing a strong dependence on temperature and magnetic field. The results demonstrate the significance of the quantum geometry of electron wave functions from the orbital degree of freedom and open up a new direction in Hall transport effects. The study provides insights into the role of quantum geometry in determining the properties of quantum materials and highlights the potential for controlling topological band features through orbital tunability.