  We report the first detection of an extragalactic millimeter wavelength H2O
maser at 183 GHz towards NGC 3079 using the Submillimeter Array (SMA), and a
tentative submillimeter wave detection of the 439 GHz maser towards the same
source using the James Clerk Maxwell Telescope (JCMT). These H2O transitions
are known to exhibit maser emission in star-forming regions and evolved stars.
NGC 3079 is a well-studied nuclear H2O maser source at 22 GHz with a
time-variable peak flux density in the range 3 -- 12 Jy. The 183 GHz H2O maser
emission, with peak flux density $\sim$0.5 Jy (7$\sigma$ detection), also
originates from the nuclear region of NGC 3079 and is spatially coincident with
the dust continuum peak at 193 GHz (53 mJy integrated). Peak emission at both
183 and 439 GHz occurs in the same range of velocity as that covered by the 22
GHz spectrum. We estimate the gas to dust ratio of the nucleus of NGC 3079 to
be $\approx$150, comparable to the Galactic value of 160. Discovery of maser
emission in an active galactic nucleus beyond the long-known 22 GHz transition
opens the possibility of future position-resolved radiative transfer modeling
of accretion disks and outflows $<1$ pc from massive black holes.
