This report is devoted to the study of temperature dependence of shear viscosity in SU(3)-gluodynamics within lattice simulation of QCD. To calculate shear viscosity we carried out high accuracy lattice measurements of the energy-momentum tensor $T_{12}T_{12}$ correlation functions for a set of temperatures in the region $T/T_c \in (0.9, 1.5)$. The results of the calculation allow us to determine the temperature dependence of the ratio of shear viscosity to the entropy density $\eta/s$ for gluodynamics. Our results are close to experimental measurement of shear viscosity, N=4 supersymmetric Yang Mills and considerably deviate from perturbative calculations. Using the results of the lattice calculations we also estimate the ratio $\eta/s$ for QCD with dynamical quarks.