  The Mott transition is one of the fundamental issues in condensed matter
physics, especially in the system with antiferromagnetic long-range order.
However the Mott transition in quantum spin liquid (QSL) systems without
long-range order is rare. Here we report the observation of the
pressure-induced insulator to metal transition followed by the emergence of
superconductivity in the QSL candidate NaYbSe2 with triangular lattice of 4f
Yb$_3^+$ ions. Detail analysis of transport properties at metallic state shows
an evolution from non-Fermi liquid to Fermi liquid behavior when approaching
the vicinity of superconductivity. An irreversible structure phase transition
occurs around 11 GPa is revealed by the X-ray diffraction. These results shed
light on the Mott transition and superconductivity in the QSL systems.
