It is now well established that the orientation of the plane of cell division highly depends on cell geometry in plants. However, the related molecular mechanism remains largely unknown. Recent data in animal systems highlight the role of the cytoskeleton response to mechanical stress in this process. Interestingly, these results are consistent with some data obtained in parallel in plants. Here we review and confront these studies, across kingdoms, and we explore the possibility that the intrinsic mechanical properties of the cytoskeleton play a key role in the nexus between cell division and mechanical stress. This opens many avenues for future research that are also discussed in this review.