Bell’s inequality is well known to be a necessary consequence of Einstein locality. We show, however, that the two best-knownnonlocal theories (Newtonian dynamics and the de Broglie-Bohm nonlocal hidden-variable model) always satisfy Bell’s inequality. The domain of validity of the latter is, therefore, much broader than hitherto believed and the only known theory capable of violating it is the quantummechanical treatment of correlated spins.