In order to find effective linerboard compositions for the corrugated fibreboard containers for apples, we have evaluated the strength and the cost effectiveness of the various linerboards and corrugated fibreboard containers. From the results, we suggest SC240, WLK210 or SK180 for the outer liners, M180 to M250 for the mediums, and K2200 or Al80 for the inner liners, respectively. Furthermore, we recommend two cost effective types of corrugated fibreboard compositions, SC240/S120/S120/M160/A180 for the white face liners, and SK180/M180/S120/M180/A180 for the color face liners. Evidence has been presented to support the conclusion that the new high compression strength corrugated fibreboard containers have better performance in the compression and bursting strength tests, while reducing material costs by thirty four percents.