The invention relates to a suture package (1) comprising a tray-shaped base member (2) with a central portion (20) and with a peripheral wall portion (21) and a cover member (3) configured to attach to the base member (2) with an inner track wall (30) and with an upper wall (31) extending radially out from the inner track wall (30) at an upper end thereof, wherein a suture channel (10) is formed between the upper wall (31) and the peripheral wall portion (21), and wherein a rim of the peripheral wall portion (21) is provided with a plurality of teeth (28) each having a sloped edge (28a) at a rear side in a direction of winding. The invention further relates to a method for winding a suture in a suture package.