Methods for a network device and a terminal device for Semi-Persistent Scheduling (SPS) are disclosed. A method comprises sending, to a terminal device, a first uplink (UL) SPS configuration message via a Layer 1 signal to configure or deconfigure a UL SPS grant in a cell among one or more cells configured to the terminal device; and receiving, from the terminal device, a first Media Access Control (MAC) Control Element (CE) for confirmation of the first UL SPS configuration message, wherein the first MAC CE comprises a first indicator to confirm the first UL SPS configuration message, or wherein there is a correspondence between the first UL SPS configuration message and the first MAC CE when there are two or more first UL SPS configuration messages to be sent and two or more first MAC CEs to be received.