Method for making through a circular machine for making ankle socks with alternate motion, an ankle sock in "continuum" stitched without seams to form a single piece made up of - a front end elongated in the shape of a pocket, which can be associated with the toe of the foot and comprising a first and a second front portion (11, 12), - a rear end, also pocket shaped, able to be associated with the heel of the foot and comprising a first and a second rear portion (21, 22), and - a connecting part between said front end and rear end, comprising a sole portion and two side portions, the connecting part having a top opening in which to insert the foot, comprising the following steps of alternate motion stitching: a) stitching said first front portion through a decrease in number of stitches; b) stitching said second front portion through an increase in number of stitches, said second front portion being joined to said first front portion continuously along a front weaving line; c) stitching said connecting part equipped with said top opening, said sole portion and said two side portions, said connecting part being continuously joined to said front end; d) stitching said first rear portion through a decrease in number of stitches, said first rear portion being continuously joined to said connecting part; e) stitching said second rear portion through an increase in number of stitches, the second rear portion being continuously joined to said first rear portion along a rear weaving line; characterised in that all of the steps of alternate motion stitching are realized by many simultaneously active independent yarn-feeders to obtain the ankle sock. - a front end elongated in the shape of a pocket, which can be associated with the toe of the foot and comprising a first and a second front portion (11, 12), - a rear end, also pocket shaped, able to be associated with the heel of the foot and comprising a first and a second rear portion (21, 22), and - a connecting part between said front end and rear end, comprising a sole portion and two side portions, the connecting part having a top opening in which to insert the foot, comprising the following steps of alternate motion stitching: a) stitching said first front portion through a decrease in number of stitches; b) stitching said second front portion through an increase in number of stitches, said second front portion being joined to said first front portion continuously along a front weaving line; c) stitching said connecting part equipped with said top opening, said sole portion and said two side portions, said connecting part being continuously joined to said front end; d) stitching said first rear portion through a decrease in number of stitches, said first rear portion being continuously joined to said connecting part; e) stitching said second rear portion through an increase in number of stitches, the second rear portion being continuously joined to said first rear portion along a rear weaving line; a) stitching said first front portion through a decrease in number of stitches; b) stitching said second front portion through an increase in number of stitches, said second front portion being joined to said first front portion continuously along a front weaving line; c) stitching said connecting part equipped with said top opening, said sole portion and said two side portions, said connecting part being continuously joined to said front end; d) stitching said first rear portion through a decrease in number of stitches, said first rear portion being continuously joined to said connecting part; e) stitching said second rear portion through an increase in number of stitches, the second rear portion being continuously joined to said first rear portion along a rear weaving line;