Measurements of the top-quark properties at CMS

We present different measurements of the top quark properties in production and decay. The measurements are performed using the LHC proton-proton ($pp$) collisions at 7\,TeV and 8\,TeV center-of-mass energies collected by the CMS detector during 2011 and 2012 runs, respectively. The study of production properties consists of charge asymmetry, $t\bar{t}$ spin correlation and the vector boson associated production of $t\bar{t}$. The top quark properties in decay are studied via the measurement of the b-quark content, $R=\mathcal{B}(t\to Wb)/\mathcal{B}(t\to Wq)$, the top quark charge, the FCNC process of $t\to Zq$ and the W-helicity fractions. The results of the last measurement are used to set limits on the $tWb$ anomalous couplings. The W-helicity fractions are measured in the electroweakly produced (single-) top quarks, too.