  We report on the MAXI GSC X-ray monitoring of the Crab nebula and pulsar
during the GeV gamma-ray flare for the period of 2010 September 18-24 (MJD
55457-55463) detected by AGILE and Fermi-LAT. There were no significant
variations on the pulse phase averaged and pulsed fluxes during the gamma-ray
flare on time scales from 0.5 to 5 days. The pulse profile also showed no
significant change during this period. The upper limits on the variations of
the pulse phase averaged and pulsed fluxes for the period MJD 55457.5-55462.5
in the 4-10 keV band are derived to be 1 and 19%, respectively, at the 90%
confidence limit of the statistical uncertainty. The lack of variations in the
pulsed component over the multi-wavelength range (radio, X-ray, hard X-ray, and
gamma-ray) supports not the pulsar but the nebular origin for the gamma-ray
flare.
