We present the results of a radial-velocity study of 10 Am stars (HD 19342, 19910, 36360, 102925, 126031, 127263, 138406, 155714, 195692 and 199360) observed at Observatoire de Haute-Provence with the CORAVEL instrument. We find that these systems are spectroscopic binaries whose orbital elements are determined for the first time. Both components were measured for HD 126031, an eclipsing binary, whereas the other systems were detected as single-line binaries only. Physical parameters were inferred from this study for the primaries of all systems, and for the secondary of HD 126031. We observed a higher incidence of synchronized/circularized systems than predicted by the theoretical models of the radiative dissipation of dynamical tides.