Kinetochores are the central force-generating machines that move chromosomes during cell division. It is generally assumed that kinetochores move in an autonomous manner. However, we reveal here that movements of neighboring sister-kinetochore pairs in metaphase are correlated in a distance-dependent manner. This correlation increases in the absence of kinetochore oscillations or stable end-on attachments. This suggests that periodic movements of bioriented chromosomes limit the correlated motion of nonsisters. Computer simulations show that these correlated movements can occur when elastic crosslinks are placed between the K-fibers of oscillating kinetochores. Strikingly, inhibition of the microtubule crosslinking motor kinesin-5 Eg5 leads to an increase in nonsister correlation and impairs periodic oscillations. These phenotypes are partially rescued by codepletion of the kinesin-12 Kif15, demonstrating a function for kinesin-5 and kinesin-12 motors in driving chromosome movements, possibly as part of a crosslinking structure that correlates the movements of nonsister kinetochores.