Universal filtered multi-carrier (UFMC) has been widely researched for 5G communication systems. In this paper, we propose a new UFMC receiver model and signaling structure to support asynchronous transmissions. Since the UFMC transmitter contains sub-band filters, we adopt equivalent filters at the receiver to separate target user signal over asynchronous multi-user transmissions. Moreover, we introduce a coarse timing synchronization algorithm in the presence of multiple timing offsets (TOs) over the complex additive white Gaussian noise (AWGN). Finally, simulation results show that the performance of the proposed system with asynchronous users is better than conventional 4G uplink system with synchronous users.