A method for performing minimization of drive tests measurement data is disclosed. The network assigns a preamble dedicated to the reporting of the logged MDT measurement data, and configures multiple UE to report the logged MDT measurement data by using the paging message. The UEs perform the first random access procedure with the network to obtain the uplink resource and a dedicate indicator for performing the second random access procedure. The UEs perform the second random access procedure for transmitting the request message. The network transmits the response message with a scheduling plan according to the request message(s). The UE transmits the logged MDT measurement data according to the scheduling plan.