The objective of the presented measurements is to provide an experimental data base for comparison with numerical simulation results of turbulent H2-air diffusion flames. Additionally, the date base may also be used for a proof of new measurement techniques, when the same flame conditions are applied. The data base contains time and spatial resolved data on all three velocity components, all Reynolds-stress tensor components, temperature, mixture fraction, species concentrations, higher statistical moments of these quantities and probability density functions for three different flames. The data are given as original measurement data in dependence on flame conditions and location in the flame, as absolute and normalized data and as evaluated data, like anisotropy tensor. The measurements are made to improve the understanding of turbulent transport processes under the influence of combustion and to help the effort to couple the turbulence and combustion model. A Laser-Doppler-Velocimeter was used to obtain three velocity components simultaneously. Temperature was measured with spontaneous Raman-Rayleigh spectroscopy and Coherent Anti-Stokes Raman spectroscopy, separately, while species concentrations and mixture fraction are measured with spontaneous Raman-Rayleigh spectroscopy. Measurements are done from nozzle exit into the self-preserving region up to x/d=100 so that the whole flow field including all boundary conditions are quantified for numerical prediction. A mixture of hydrogen and nitrogen with a mole ratio of 1:1 is used as fuel. Reynolds number and Froude number are set at different values. This complete data set is available upon request.