  We establish a relation between the geometric time-energy uncertainty and
multipartite entanglement. In particular, we show that the time-energy
uncertainty relation is bounded below by the geometric measure of multipartite
entanglement for an arbitrary quantum evolution of any multipartite system. The
product of the time-averaged speed of the quantum evolution and the time
interval of the evolution is bounded below by the multipartite entanglement of
the target state. This relation holds for pure as well as for mixed states. We
provide examples of physical systems for which the bound reaches close to
saturation.
