A method for establishing a radio connection between a network apparatus and a terminal apparatus, a network apparatus and a terminal apparatus are described. The method for establishing a radio connection, which is applied to a network apparatus, may include receiving a connection request for requesting a radio resource from a terminal apparatus, acquiring power supplying state information related to the terminal apparatus; setting a connection configuration instruction of the radio resource for connecting with the terminal apparatus based on the power supplying state information; and controlling a radio connection with the terminal apparatus based on the connection configuration instruction, the radio connection being used for data transmission between the network apparatus and the terminal apparatus. Accordingly, standby time of the terminal apparatus is prolonged while a network connection of the terminal apparatus can be maintained.