  We present new constraints on the neutrino Majorana masses from the current
data of neutrinoless double beta decay and neutrino flavour mixing. With the
latest results of $0\nu\beta\beta$ progresses from various isotopes, including
the recent calculations of the nuclear matrix elements, we find that the
strongest constraint of the effective Majorana neutrino mass is from the
$^{136}\rm{Xe}$ data of the EXO-200 and KamLAND-Zen collaborations. Further
more, by combining the $0\nu\beta\beta$ experimental data with the neutrino
mixing parameters from new analyses, we get the mass upper limits of neutrino
mass eigenstates and flavour eigenstates and suggest several relations among
these neutrino masses.
