  A ferromagnet with spin anisotropies on the 2D Kagome lattice is
theoretically studied. This is a typical example of the flat-band ferromagnet.
The Berry phase induced by the tilting of the spins opens the band gap and
quantized Hall conductance \sigma_{xy}=\pm e^2/h is realized without external
magnetic field. This is the most realistic chiral spin state based on the
ferromagnetism. We also discuss the implication of our results to anomalous
Hall effect observed in the metallic pyrochlore ferromagnets R_2Mo_2O_7(R=Nd,
Sm, Gd).
