The magnetostriction of the RNi
2compounds (R = Tb, Dy, Ho, Er and Tm) was measured as a function of applied field from T = 5 K to above the Curie temperatures. A direct comparison is made between these results and the huge magnetostriction observed at cryogenic temperatures in the RFe
2and RCo
2compounds. The largest magnetostriction in the RNi
2series occurs in TbNi
2. At T = 5 K the magnetostriction is fairly well saturated and results in a value of

at H = 25kOe, while extrapolation to infinite field yields

. DyNi
2also displays a tendency to saturate at the higher fields at lower temperatures with

at 25kOe and -840 ppm at

. The compounds HoNi
2, ErNi
2and TmNi
2all exhibit large strains at T = 5 K although fail to saturate with available fields. At 25kOe the magnetostriction for these compounds was found to be

and

respectively.