An input-output buffering switch operates in either of tow different cell loss modes; Backpressure mode and Queueloss mode. In the previous studies, the Backpressrue mode is more effective at low traffic loads, and the Queueloss mode performs better at high traffic. We propose a new operation mode, called Hybrid mode, which adopts the advantages of he Backpressure and the Queueloss mode. Backpressure and Queueloss modes are distinguished from whether a cell loss occurs at the output buffer or not when output buffer overflows, irrespective of input buffer status. In order to simply combine Backpressure and Queueloss mode, the change of input traffic load must be measured. However, in the Hybrid mode, simply both of the input and output buffer overflow and checked out to determine the cell discard. The performance of the Hybrid mode is compared with those of the Backpressure and the Queueloss mode under random and bursty traffic. This paper show that the Hybrid mode always gives the best performance results for most ranges of load values.