Spectroscopic orbits of the 12 eclipsing binary systems, TW And, CD And, RS Ari, RU Cnc, TW Cnc, UU Cnc, V788 Cyg, AW Her, MM Her, RV Lib, EW Ori and ZZ UMa are obtained from Coravel and Elodie radial velocity measurements. We obtain a first orbit for CD And, RS Ari, TW Cnc, and V788 Cyg. For the systems TW And, RU Cnc, UU Cnc, AW Her, MM Her, RV Lib, EW Ori and ZZ UMa, the new spectroscopic orbits are either better or of quality comparable to that previously published. The physical properties of these systems were estimated with the photometric parameters from available data except CD And, TW Cnc, UU Cnc, V788 Cyg and RV Lib for which we found a model compatible with the observations. The systems RU Cnc, AW Her, MM Her and RV Lib belong to RS CVn group. In general these systems were difficult to observe with Coravel, on the one hand because the stars are relatively weak and on the other hand because of nature of the components giving peaks of correlation with weak contrast.