  The general relativistic effects to the anomalous magnetic moment of the
electron ${\rm g}_{\rm e}$-2 in the Earth's gravitational field have been
examined. The magnetic moment of electrons to be measured on the Earth's
surface is evaluated as $\mu_{\rm m}^{\rm eff} \simeq
(1\!+\!3\phi/c^2)\,\mu_{\rm m}$ on the basis of the Dirac equation containing
the post-Newtonian effects of the general relativity for fermions moving in the
Earth's gravitational field. This implies that the anomalous magnetic moment of
$10^{-9}$ appears in addition to the radiative corrections in the quantum field
theory. This may seem contradictory with the fact of the 12th digit agreement
between the experimental value measured on the ground level ${\rm g}_{\rm
e(EXP)}$ and the theoretical value calculated in the flat spacetime ${\rm
g}_{\rm e(SM)}$. In this paper, we show that the apparent contradiction can be
explained consistently with the framework of the general relativity.
