We present rate coefficients for rotational transitions induced in collisions between H-2 molecules. Rotational levels J less than or equal to 8 and kinetic temperatures T less than or equal to 1000 K are considered. The interaction potential computed by Schwenke has been used, together with the quantal coupled channels method of calculating the cross-sections. Comparison is made with the more recent of previous results. (C) 1998 RAS.