The forging of sintered metal-powder performs creates a lot of interest throughout the world as one of the most economic method of manufacturing techniques. This process becomes more popular due to its simplicity and flexibility. During compression of regular polygonal disk between a pair of flat dies both bulging and barreling occurs simultaneously. Theoretical analysis considering bulging and barreling together is highly complicated and in this article an upper bound solution has been constructed for determining the die pressures developed during the compression of hollow polygonal disks taken into account the barreling only. The results so obtained are discussed critically to illustrate the interacted of various process parameters involved and presented graphically.