The embodiments of the present disclosure provide methods and apparatuses for control of Quality of Service (QoS). A method applied in a base station for control of QoS includes: receiving a Core Network (CN) flow identifier and information on a corresponding QoS parameter of a Packet Data Network (PDN) connection as transmitted from a CN control network element and creating a mapping relation between the CN flow identifier and the corresponding QoS parameter; and utilizing, after determining based on the received information on the QoS parameter of the PDN connection that a radio bearer satisfying a requirement of the QoS parameter exists between a user terminal and the base station, the existing radio bearer satisfying the requirement of the QoS parameter, creating a mapping relation between the existing radio bearer and the CN flow identifier of the PDN connection and transmitting information on the mapping relation to the user terminal.