A media control method performed by a communication terminal, comprising: in a process of transferring a media stream between the converged device and a remote device, acquiring, by a communication terminal, target media description information in response to detecting, by the communication terminal, that a quality parameter of a communication connection for media stream transmission between the communication terminal and the converged device does not match a preset threshold of the quality parameter, wherein the converged device communicates with the remote device via the communication device, the target media description information is the target media description information of the communication terminal or the target media description information of the converged device, and based on the result of determination of the quality parameter of the communication connection for media stream transmission, the communication terminal adopts any one of the following media handover modes: acquiring the media description information of the communication terminal to allow full fallback of the media stream to the communication terminal, acquiring the media description of both the communication terminal and the converged device to allow partial fallback of the media stream to the communication terminal, and acquiring new media description information of the converged device to reduce the code rate of the media stream; and initiating and establishing, by the communication terminal and according to the target media description information, a new media interface for media stream interaction between the communication terminal and the remote device and performing media stream interaction. in a process of transferring a media stream between the converged device and a remote device, acquiring, by a communication terminal, target media description information in response to detecting, by the communication terminal, that a quality parameter of a communication connection for media stream transmission between the communication terminal and the converged device does not match a preset threshold of the quality parameter, wherein the converged device communicates with the remote device via the communication device, the target media description information is the target media description information of the communication terminal or the target media description information of the converged device, and based on the result of determination of the quality parameter of the communication connection for media stream transmission, the communication terminal adopts any one of the following media handover modes: acquiring the media description information of the communication terminal to allow full fallback of the media stream to the communication terminal, acquiring the media description of both the communication terminal and the converged device to allow partial fallback of the media stream to the communication terminal, and acquiring new media description information of the converged device to reduce the code rate of the media stream; and initiating and establishing, by the communication terminal and according to the target media description information, a new media interface for media stream interaction between the communication terminal and the remote device and performing media stream interaction.