In this paper, we propose an efficient single-iteration single-bit request scheduling algorithm for input-queued ATM switches that based on a new arbitration technique called the Single Bit Request Grant (SBRG) algorithm. The operation of the SBRG depends on the concept known as “the preferred input-output pairs first”, and the arbitration requests starts from switch output ports to reduce the number of issued request signals. Compared to other single-iteration algorithms, simulation results show that the SBRG maximizes the match size and improves the switch delay/throughput performance, especially when the load increases. Also, the proposed algorithm reduces the complexity of some of the existing algorithms by decreasing the number of input-output transferred messages, and by the absence of any encoding/decoding mechanism that can be used in some existing algorithmsto reduce the size of request signals to one bit.