A graft compression system for compressing soft tissue grafts used in connection with reconstructive surgery on the anterior cruciate ligament (ACL). The graft compression system includes a compression chamber having an elongate hollow shaft body having two ends that are threaded to mate with correspondingly threaded collet nuts. Collets are removably inserted into, and engage, the collet nuts fastened to opposing ends of the compression chamber A surgical graft may be inserted into a hollow compression tube having a lumen with a compressible diameter, said compression tube being sized for insertion into the collets and compression chamber. When such collet nuts are tightened by a user of the graft compression system, the inner diameters of the respective collet nuts nested within such collet nuts are decreased, causing the diameter of the lumen of the hollow compression tube to in turn be decreased and compress the surgical graft within.