We find the solitons of massive (1,1)-supersymmetric sigma models with
target space the groups SO(2) and SU(2) for a class of scalar potenti
als and compute their charge, mass and moduli space metric. We also in
vestigate the massive sigma models with target space any semisimple Li
e group and show that some of their solitons can be obtained from embe
dding the SO(2) and SU(2) solitons.