Abstract: Quantum entanglement is fundamental in quantum physics both for its essential role in understanding the nonlocality of quantum mechanics and its practical application in quantum information processing. Recently, with the development of quantum information theory, nonclassical correlation has been found to exist even in separated states. The quantum correlation of quantum states includes entanglement and other kinds of nonclassical correlation. Moreover, such kinds of non-entangled quantum correlation may also play important roles in certain quantum information processes. We review recent progress in this field, particularly the dynamics of quantum correlation in different kinds of decoherence environments.