Provided are a method and a device for configuring control plane (C-plane) discontinuous reception (DRX) in a wireless communication system. A base station configures C-plane DRX for terminals only having an activated C-plane transmitted/received via a cellular network and indicates the presence or absence of signaling to be transmitted to one or more awake terminals in the C-plane DRX. Also provided are a method and a device for extending an on-duration according to C-plane DRX in a wireless communication system. A terminal receives C-plane DRX configuration information and a mobile terminating (MT) signaling indicator and temporarily extends an on-duration for the DRX of a C-plane according to the C-plane configuration information and MT signaling indicator.