  We consider the possibility of an interaction in the dark sector in the
presence of massive neutrinos, and study the observational constraints on three
different scenarios of massive neutrinos using the most recent CMB anisotropy
data in combination with type Ia supernovae, baryon acoustic oscillations, and
Hubble parameter measurements. When a sterile neutrino is introduced in the
interacting dark sector scenario in addition to the standard model prediction
of neutrinos, we find that the coupling parameter, characterizing the
interaction between dark matter and dark energy, is non-zero at 2$\sigma$
confidence level. The interaction model with sterile neutrino is also found to
be a promising one to alleviate the current tension on Hubble constant. We do
not find the evidence for a coupling in the dark sector when the possibility of
a sterile neutrino is discarded.
