Aims. Rate coefficients for the rotational excitation of the ten lowest levels of ortho-H 2 CO by collisions with H 2 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 H 2 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 H 2 . Radiative transfer modeling also shows that the new rates have a significant impact on H 2 CO emission line fluxes and that they should be adopted in any detailed radiative transfer model of ortho-H 2 CO in cold environments (T < ∼ 30 K).