  Direct identification of the progenitors of supernovae (SNe) is rare because
of the required spatial resolution and depth of the archival data prior to the
SN explosions. Here we report on the identification of the progenitors of two
nearby SNe in the Virgo cluster: SN 2006my in NGC 4651 and SN 2006ov in M61. We
obtained high-quality ground-based images of SN 2006my with the
Canada-France-Hawaii Telescope, and are able to locate the site of the SN on
pre-SN {\it Hubble Space Telescope} ({\it HST}) Wide Field Planetary Camera 2
images to a high precision (1$\sigma$ uncertainty of $\pm0\farcs$05). We
pinpoint the site of SN 2006ov to within 0$\farcs$02 from {\it HST} Advanced
Camera for Surveys images of the SN. We detected a red supergiant progenitor
for each SN within the error circles, with an inferred zero-age main-sequence
mass ($M_{\rm ZAMS}$) of $10^{+5}_{-3}$ $M_\odot$ and $15^{+5}_{-3}$ $M_\odot$
for the progenitors of SNe 2006my and 2006ov, respectively. The mass estimates
for the progenitors of both SNe confirm a suggested trend that the most common
Type II-plateau SNe originate from low-mass supergiants with $M_{\rm ZAMS}
\approx 8$--20 $M_\odot$.
