Abstract. The g-factors of the four lowest states of the ground state rotational band of ~SSDy have been determined as g(21~)= +0.362(23), g(4+)= +0.340(20), g (6 +) = + 0.207 (36) and g (8 i +) = + 0.21 (11). The g-factors of the 2 + and 4 + states were measured by the IPAC method with radioactive samples of 2.4 h 158Er in external magnetic fields. To investigate the higher states, for the first time an on-line 7-7 IPAC experiment was performed with the reaction 156Gd(~, 2n)lSSDy by use of the static hyperfine field of DyGd.