  About 30 Galactic supernova remnants (SNRs) are thought to be physically
associated with molecular clouds (MCs). These systems are prime \g-ray source
candidates as the accelerated particles from shock fronts collide with the
surrounding high-density medium thus emitting gamma-rays through hadronic
interactions. However only a handful of such interacting SNRs are detected at
TeV energies. We report the current status of the High Energy Stereoscopic
System (H.E.S.S.) observations towards these SNR-MC systems, with a particular
emphasis on the latest results.
