Abstract: An expression that allows the determination of the Lagrangian Kolmogorov structure function constant C0 from the knowledge of the constant Cs associated to the second order Eulerian velocity structure function and the \gamma numerical coefficient relating the Eulerian spectra constant to the Lagrangian one, is suggested. Experimental data from both wind tunnel and atmospheric boundary layer observation were used to determine Cs, leading to an estimate of C0=5.09(-/+)0.93, in agreement with previous studies. The study agrees with the universal nature of the C0 for fully developed turbulence.