  The particle production and their ratios for $\pi$, $K$, $p$, and $\Lambda$
are studied in Pb + Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV based on a
blast-wave model with thermal equilibrium mechanism. The transverse momentum
spectra of the above mentioned particles at the kinetic freeze-out stage are
discussed. The modification of the inverse slope of pion transverse momentum
spectrum due to resonance decay has also been investigated. In addition, we
found that the anti-particles to particles ratio as well as kaons to pions
ratio agree with the data by the LHC-ALICE Collaboration reasonably well, while
the $p/\pi$ ratio is overestimated by a factor of 1.5, similar to those from
other thermal model calculations. It is found that the ratios of $p/\pi$ and
$K/\pi$ are dominated by the radial flow but slightly affected by the baryon
chemical potential. Our study thus constrains the parameters at the chemical
and kinetic freeze-out stages within the framework of thermal model in Pb + Pb
collisions at $\sqrt{s_{NN}}$ = 2.76 TeV, and will help better understand the
properties of the dense and hot matter created in high-energy heavy-ion
collisions at freeze-out stage.
