Synthetic absorbable sutures are filled with a stabilizing agent, preferably a mixture of glycerol and calcium lactate, and inserted into a retainer having a narrow convoluted passageway. The retainer is inserted into an open foil pouch with a package stabilizing element, such as a paper sheet filled with stabilizing agent. The package containing the suture, retainer and package stabilizing element is sterilized, aerated, equilibrated to a relatively high moisture level, and sealed. Long lengths of suture and doubled-over and tripled-over suture may be withdrawn from the retainer with low force without damaging the suture. Bends and kinks in the suture are prevented so as to provide a synthetic absorbable suture having highly desirable out of package hand and feel. The suture as removed from the package exhibits improved tissue drag characteristics.