Elastic $d^{12}C$ scattering is considered on the basis of the sum of two mechanisms, single and double $N^{12}C$ scattering. The refined Glauber theory is used including full spin dependence of $N^{12}C$- scattering amplitudes which are produced within the optical model of the elastic $N^{12}C$ scattering. Numerical results are obtained at the deuteron beam energy 270 MeV and compared with the
data on unpolarized differential cross section, vector $A_y$ and tensor $A_{yy}$ analyzing powers.