The integration of satellite network and cellular network is a crucial evolution direction of 6G. NTN is a direct communication technology between terminals and satellites based on NR (New Radio) formulated by 3GPP,which advances the integration of cellular network and satellite network. Mobility technology is one of the core issues in NTN research. This paper focuses on the cell reselection between NTN cells,the reselection between NTN cells and TN cells,and the handover between NTN cells. It analyzes the measurement triggering mechanism and signaling for the reselection between NTN cells,as well as the reselection solution between NTN cells and TN cells. Meanwhile,this paper investigates the solution to the signaling overhead in handover between NTN cells. Finally,this paper proposes an application of NTN mobility in connected unmanned aerial vehicles.