Provided are a flow control method and device, a CU and a DU. The method includes: receiving a flow control state message transmitted by a second network element connected to a first network element through a fronthaul interface; where the flow control state message carries flow control state information for identifying a flow control state of the second network element, and where the first network element and the second network element have different functions, and performing a flow control processing according to the flow control state information and interacting the flow control state of the second network element. Further provided is a computer storage medium.