The invention relates to a drawn surgical suture material (100; 200; 300; 400) with an elongate main body (120; 220; 320; 420) and with barbs (140; 240-243; 340-345; 440) for anchoring in biological tissues, particularly in human and/or animal tissues, wherein the barbs (140; 240-243; 340-345; 440) are formed by cuts made into the suture material in the undrawn state. Moreover, the invention also relates to an undrawn suture material (10), a surgical kit, and a method for producing the suture material (100; 200; 300; 400).