This study presents higher order compressors which can be effectively used for high speed multiplications. The proposed compressors offer less delay and area. But the Energy Delay Product (EDP) is slightly higher than lower order compressors. The performance of 8×8, 16×16 and 24×24 multipliers using the proposed higher order compressors has been compared with the same multipliers using lower order compressors and found that the new structures can be used for high speed multiplications. These compressors are simulated with Cadence RTL complier at a temperature of 25°C with the supply voltage of 1.2 V.