A. Fukui, Y. Itow, T. Sumi (STE Lab, Nagoya Univ.), and P. Tristram (Canterbury Univ.) on behalf of the MOA Collabration (Bond et al. 2001, Sumi et al. 2003) report: We observed the optical afterglow of GRB080413A (GCN 7593, Rykoff & Rujopakarn; GCN 7594, Stamatikos et al.) on Apr. 13 between 12:29:16.4 UTC and 14:13:06.6 UTC, corresponding to about 9.5-11 h after the burst, with the 1.8m MOA-II telescope at Mt. John observatory in New Zealand. Total 5 images were obtained with a wide- band Red filter (center wavelength ~ 750nm and FWHM ~ 250nm) and we could identify the faint afterglow within the error circle (<0.5"). The identified R.A. Dec. are 19:09:11.752 -27:40:39.99 with an uncertainty of 0.14" (radius, 1sigma) and following are the photometric results: I magnitude = 20.24 +/- 0.32 at the mid-exposure time of 2008-04-13 12:29:16.4 UTC, 20.09 +/- 0.19 at 12:51:10.7 UTC, 21.40 +/- 0.61 at 13:03:0.1 UTC, 20.05 +/- 0.17 at 13:42:47.0 UTC, and 20.75 +/- 0.25 at 14:13:06.6 UTC. These photometry were done by using the IRAF and calibrated against the USNO-B1.0 catalog stars, and not corrected for the Galactic extinction.