  Using the new limit on the neutrino anomalous magnetic moment recently
obtained by GEMMA experiment we get an order-of-magnitude estimation for
possible new direct upper bound on the neutrino electric millicharge $\mid
q_{\nu} \mid \sim 1.5 \times 10^{-12} e_0$ ($e_0$ is the absolute value of the
electron charge) by comparing the neutrino magnetic moment and millicharge
contributions to the total cross section at the electron recoil energy
threshold of the experiment. This estimation is confirmed by the performed
analysis of the GEMMA data using established statistical procedures and a new
direct bound on the neutrino millicharge absolute value $\mid q_{\nu} \mid <
2.7 \times 10^{-12} e_0 \ (90\% CL)$ is derived. This limit is more stringent
than the previous one obtained from the TEXONO reactor experiment data that is
included to the Review of Particle Properties 2012.
