Cross sections and rate coefficients have been computed for rotational transitions within the vibrational ground state of HD, induced in collision with H-2 molecules. Where possible, our results are compared with previous calculations by Schaefer; the overall level of agreement is found to be good. Rare coefficients are available for kinetic temperatures T less than or equal to 1000 K and rotational Levels of the HD molecule J less than or equal to 8.