Detailed measurements of turbulent quantities in the two-dimensional wake have been made in a wide range 30.5≦x/d≦475. The measurements comprise profiles of mean velocity, turbulent kinetic energy, Reynolds shear stress, velocity diffusion and dissipation. An attempt has been made to evaluate the asymptotic process to self-preservation, and comparison between the simple semi-empirical models and measured profiles have been done. The individual terms of the turbulent kinetic energy equation have been evaluated to present these balance.