The kagome lattice is a two-dimensional network of corner-sharing triangles1 that is known to host exotic quantum magnetic states2,3,4. Theoretical work has predicted that kagome lattices may also host Dirac electronic states5 that could lead to topological6 and Chern7 insulating phases, but these states have so far not been detected in experiments. Here we study the d-electron kagome metal Fe 3 Sn 2 , which is designed to support bulk massive Dirac fermions in the presence of ferromagnetic order. We observe a temperature-independent intrinsic anomalous Hall conductivity that persists above room temperature, which is suggestive of prominent Berry curvature from the time-reversal-symmetry-breaking electronic bands of the kagome plane. Using angle-resolved photoemission spectroscopy, we observe a pair of quasi-two-dimensional Dirac cones near the Fermi level with a mass gap of 30 millielectronvolts, which correspond to massive Dirac fermions that generate Berry-curvature-induced Hall conductivity. We show that this behaviour is a consequence of the underlying symmetry properties of the bilayer kagome lattice in the ferromagnetic state and the atomic spin–orbit coupling. This work provides evidence for a ferromagnetic kagome metal and an example of emergent topological electronic properties in a correlated electron system. Our results provide insight into the recent discoveries of exotic electronic behaviour in kagome-lattice antiferromagnets8,9,10 and may enable lattice-model realizations of fractional topological quantum states11,12.