We study logarithmic operators in Coulomb gas models, and show that they occur when the "puncture" operator of the Liouville theory is included in the model. We also consider WZNW models for SL(2,R), and for SU(2) at level 0, in which we find logarithmic operators which form Jordan blocks for the current as well as the Virasoro algebra. (C) 1998 Published by Elsevier Science B.V.