  We report systematic studies of CeCu$_9$In$_2$, which appears to be a new
Kondo lattice system. Electrical resistivity exhibits a logarithmic law
characteristic of Kondo systems with a broad maximum at $T_{coh}\approx$45 K
and it obeys the Fermi liquid theory at low temperature. Specific heat of
CeCu$_9$In$_2$ is well described by the Einstein and Debye models with
electronic part at high temperature. Fitting of the Schottky formula to low
temperature 4f contribution to specific heat yielded crystal field splitting of
50.2 K between a doublet and quasi-quartet. The Schotte-Schotte model estimates
roughly Kondo temperature as $T_K\approx$5 K, but does not reproduce well the
data due to a sharp peak at 1.6 K. This structure should be attributed to a
phase transition, a nature of which is possibly antiferromagnetic. Specific
heat is characterized with increased Sommerfeld coefficient estimated as
$\gamma\approx$132 mJ/(mole$\cdot$K$^2$). Spectra of the valence band, which
have been collected with ultraviolet photoelectron spectroscopy (UPS), show a
peak at binding energy$\approx$250 meV, which originates from the Ce 4f
electrons and is related to the 4f$^1$$_{7/2}$ final state. Extracted 4f
contribution to the spectral function exhibits also the enhancement of
intensity in the vicinity of the Fermi level. Satellite structure of the Ce 3d
levels spectra measured by X-ray photoelectron spectroscopy (XPS) has been
analyzed within the framework of the Gunnarsson-Sch\"onhammer theory.
Theoretical calculations based on density functional theory (FPLO method with
LDA+U approach) delivered densities of states, band structures and Fermi
surfaces for CeCu$_9$In$_2$ and LaCu$_9$In$_2$. The results indicate that Fermi
surface nesting takes place in CeCu$_9$In$_2$.
