  The large size single crystals of (SnSe)$_{1.16}$(NbSe$_2$) misfit layered
compound were grown and superconductivity with $T_c$ of 3.4 K was first
discovered in this system. Powder X-ray diffraction (XRD) and high resolution
transmission electron microscopy (HRTEM) clearly display the misfit feature
between SnSe and NbSe$_2$ subsystems. The Sommerfeld coefficient $\gamma$
inferred from specific-heat measurements is 16.73 mJ mol$^{-1}$ K$^{-2}$,
slightly larger than the usual misfit compounds. The normalized specific heat
jump $\Delta$$C_e$/$\gamma$$T_{\rm c}$ is about 0.98, and the electron-phonon
coupling constant $\lambda$$_{e-ph}$ is estimated to be 0.80. The estimated
value of the in-plane upper critical magnetic field, $H_{c2}^{ab}$(0), is about
7.82 T, exceeding the Pauli paramagnetic limit slightly. Both the specific-heat
and $H_{c2}$ data suggest that (SnSe)$_{1.16}$(NbSe$_2$) is a multi-band
superconductor.
