International audienceAims: Rate coefficients for the rotational excitation of the ten lowest levels of ortho-H_2CO by collisions with H2 molecules are computed for kinetic temperatures in the range 5-100 K. Methods: Cross sections are obtained from extensive, fully converged, quantum-mechanical scattering calculations using a highly accurate potential energy surface computed at the CCSD(T) level with a basis set extrapolation procedure. Scattering calculations are carried out for H2 molecules in both para and ortho rotational levels. Results: The present rates are shown to differ significantly from those available in the literature. Moreover, the strength of propensity rules is found to depend on the para/ortho form of H2. Radiative transf...