The permanent electric dipole moments of the [16.6]1 (the OMEGA = 1 state lying near 16 600 cm-1) and X0- (ground) electronic states of (SmO)-Sm-152 and (SmO)-Sm-154 have been determined in a pulsed molecular beam by measuring the Stark shifts of the R(0) and R(1) lines of the (0,0) band in the [16.6]1-X0- transition. Electric fields up to 7.9 kV/cm were used. The Stark measurements also gave a precise determination of the OMEGA doubling of the J = 1 level of the [16.6]1 state. The magnitudes of the dipole moments for the X0- and [16.61] states were determined to be 3.517(20) and 4.022(24) D for (SmO)Sm-152, and 3.451(28) and 3.967(40) D for (SmO)-Sm-154 (2sigma error bounds). The splitting due to the OMEGA doubling of the J = 1 level of the [16.61] state was determined to be 0.0433 (24) cm-1 for (SmO)-Sm-152 and 0.03 80 (50) cm-1 for (SmO)-Sm-154. A field dependent perturbation affecting the J = 1, M(J) = 0 level of the [16.6]1 state of the (SmO)-Sm-154 isotopomer was observed and analyzed.