Based on non-repeating FH pattern and random sending mechanism, a FHMA network protocol with excellent performance in receiving packets from multi-nodes is proposed. In theory, the receiving throughput and throughput-rate from multi-nodes is derived, which shows that the relation of the packet length and the frame length is a key parameter to determine the receiving performance. To maximize the receiving throughput, the optimal length of packet is also obtained. Simulation results verify the correctness of theoretical analysis and illustrate that the protocol proposed has better receiving performance compared to the common FHMA.