A strain wave gear has a wave generator rotatably mounted in a radially flexible sleeve having external toothing, a first rigid hollow wheel with internal toothing meshing with the external toothing of the radially flexible sleeve, and a second rigid hollow wheel with internal toothing meshing with the external toothing of the radially flexible sleeve. The wave generator is mounted by exactly one radially flexible roller bearing so as to be rotatable relative to the radially flexible sleeve. The roller bearing has a first rolling-element row, having first rolling elements, and at least one second rolling-element row, having second rolling elements, that is axially offset from the first rolling-element row. The roller bearing has an external ring with which the first and second rolling elements are in direct contact, and/or an internal ring with which the first and second rolling elements are in direct contact.