Hygienic tampon having improved sliding ability on its outer surface, such tampon comprising an absorbent core consisting of absorbent natural or artificial fibers, as well as a of a continuous covering layer, which contains thermoplastic fibers which are approximately uniformly distributed across the surface thereof and by which said core is surrounded around its complete circumferential area, wherein the first end portion of such tampon is optionally narrowed and formed with a slightly rounded tip, while the second end portion thereof is equipped with a string intended for easier removing the tampon after the use, and wherein such tampon is due to at least approximately radial compression on its surface provided with appropriate number e.g. at least two to ten radial grooves (11', 12', 13', 14', 15', 16', 17', 18'), which extend at least approximately parallel to each other in the longitudinal direction of the tampon or are inclined at certain angle with respect to said longitudinal direction and which are equidistantly apart from each other distributed in the circumferential direction of the tampon, so that between each two neighboring grooves (11', 12', 13', 14', 15', 16', 17', 18') there is a rib (11", 12", 13", 14", 15", 16", 17", 18") having a slightly rounded convex outer surface (110", 120", 130", 140", 150", 160", 170", 180"), so that such outer surfaces (110", 120", 130", 140", 150", 160", 170", 180") of all ribs (11", 12", 13", 14", 15", 16", 17", 18") together form at least approximately cylindrical outer surface of the tampon, characterized in that the tampon is smoothed exclusively in the area of convex outer surfaces (110", 120", 130", 140", 150", 160", 170", 180") of each available ribs (11", 12", 13", 14", 15", 16", 17", 18"), by which on said outer surface of the tampon the friction coefficient is reduced and the sliding ability is correspondingly improved, wherein the covering layer consists either of two-component fibers, where at least the outer component thereof consists of a thermoplastic material, or of a mixture of fibers, where at least a portion of these fibers represent thermoplastic fibers, and is at least in the area of convex outer surfaces (110", 120", 130", 140", 150", 160", 170", 180") of the ribs (11", 12", 13", 14", 15", 16", 17", 18") smoothed by heating said thermoplastic fibers or a thermoplastic component of said fibers up to the temperature of plasticizing of the thermoplastic material of fibers by simultaneously establishing a smooth uniform compression towards the outer surface of the covering layer in the radial direction regarding the tampon by means of transferring thereof throughout a conical passage of appropriately heated die such that only the convex outer surfaces (110", 120", 130", 140", 150", 160", 170", 180") of the ribs (11", 12", 13", 14", 15", 16", 17", 18") are brought into contact with the surface of said passage of the heated die, and wherein the covering layer consists of two-component fibers, which are formed with a core on the basis of polyester and with a wrapper on the basis of high density polyethylene or optionally of a mixture of fibers of the same content, where the ratio PE: PES = 34%: 66% up to PE: PES = 50%: 50%, and where the specific surface density of such two-component fibers is 12 to 20 g/m 2 and preferably around 16 g/m 2, wherein said covering layer is smoothed in the area of convex outer surfaces (110", 120", 130", 140", 150", 160", 170", 180") of the ribs (11", 12", 13", 14", 15", 16", 17", 18") by means of plasticizing said polyethylene component of fibers at the temperature within the range between 120°C and 180°C, preferably between 122°C and 148°C, by simultaneously exposing such plasticized fibers on the outer surface of the covering layer to a smooth uniform compression acting inwardly in the radial direction regarding the tampon.