In the orientation device of a transmission assembly for orienting at least one beam in elevation and/or in bearing, said assembly pivots on a fork about an elevation axis and is driven about this axis by a motor supported by said fork, which fork can pivot on a base about a bearing axis, perpendicular to the elevation axis and driven about this axis by a second motor supported by said base, and at least one of the motors is a travelling-wave piezoelectric rotary motor.