  We estimate the rate of tidal disruption events (TDEs) that will be
detectable with future gravitational wave detectors as well as the most
probable properties of these events and their possible electromagnetic
counterpart. To this purpose we combine standard gravitational waves and
electromagnetic results with detailed rates estimates. We find that the
\emph{Laser Interferometer Space Antenna} (LISA) should not detect any TDEs,
unless black holes (BHs) are typically embedded by a young stellar population
which, in this situation, could lead up to few 10 events during the duration of
the mission. If there are gravitational wave observations, these events should
also be observable in the X-ray or the optical/UV part of the electromagnetic
spectrum, which may open up the multi-messenger era for TDEs. The generation of
detectors following LISA will at least yearly observe $10^4$ TDEs at
cosmological distances, allowing to do population studies and constrain the
black hole mass function. In all cases, most probable events should be around
black holes with a mass such that the Keplerian frequency at the Schwarzschild
radius is similar to the optimal frequency of the detector and with a large
penetration factor.
