As an important degree of freedom, orbital angular momentum (OAM) plays a key role in the research of photonic quantum information. Combined OAM with other degrees of freedom of photons such as polarization, multi-degree-of-freedom photonic quantum information processing is possible. In addition, due to the property of natural discrete high dimensions, OAM is one of the optimal degrees of freedom for the research of high dimensional quantum information processing. Based on the spontaneous parametric down-conversion nonlinear optical process, the entangled source with OAM can be easily obtained. In recent years, quantum entanglement based on OAM of photons has attracted wide attention and many significant progresses have been made in many directions, such as multiple degrees of freedom, high dimension and multiple photons. However, there are still many key scientific issues that need to be further studied in this realm, including how to achieve efficient and high-quality OAM sorter, how to achieve higher-dimensional frequency conversion, how to improve the quality of multi-degree-of-freedom entangled sorter, how to obtain high-dimensional entangled states with more dimensions and more photons, and how to construct feasible high-dimensional quantum gates. Starting from the most basic two-dimensional manipulation of OAM of photons, the quantum state regulation of single photon with OAM and the entanglement manipulation of two photons and multiple photons with OAM are reviewed. Based on the characteristics of multiple degrees of freedom, large angular momentum and high dimension, quantum entanglement of OAM of photons is discussed systematically from the perspectives of generation, regulation, measurement and application. Meanwhile, the possible methods to overcome the challenges in this realm are explored.