  The anomalous Hall and Nernst effects describe the voltage drop perpendicular
to an applied current and temperature gradient due to the magnetization of a
magnetic material. These effects can be utilized to measure the Berry curvature
at the Fermi energy, and have potential applications in future electronic
devices and thermoelectric energy conversion. In this paper, we report giant
anomalous Hall conductivity and anomalous Nernst coefficient, as high as about
1000 $\Omega^{-1}$ cm$^{-1}$ and 10 $\mu$V K$^{-1}$, respectively, in a heavy
fermion ferromagnet, CeCrGe$_3$. This compound uniquely manifests strong
hybridization between the 4$f$ and conduction electrons, leading to a Kondo
lattice state in the presence of ferromagnetic order. Unlike conventional
topological semimetals in which the electron correlation is weak, CeCrGe$_3$
manifests a strong Berry curvature field of the heavy fermion with an extremely
low Fermi energy. Our findings pave the way for exploring correlation-driven
topological responses in a ferromagnetic Kondo lattice environment.
