Absorbable monofilament fibers and self-retaining sutures with high tensile strengths have been developed. The straight pull tensile strengths of the absorbable self-retaining sutures closely approximate, equal or exceed the average minimum knot-pull tensile standards set by the United States Pharmacopeia (USP). These higher strength absorbable self-retaining sutures can therefore be used either without needing to oversize the suture for a given procedure, or by oversizing the self-retaining suture by no more than 0.1 mm in diameter. In one embodiment, the absorbable self-retaining sutures are made from poly-4-hydroxybutyrate or copolymers thereof.