A method for producing absorbent sanitary articles, including: - advancing in a machine direction a continuous composite tape in an outspread condition, formed by a continuous chain of blanks of absorbent sanitary articles oriented with the respective longitudinal axes transversal with respect to said machine direction, wherein said continuous composite tape comprises a first elastic band and a second elastic band (24"), parallel to said machine direction, and a plurality of absorbent cores which extend between the first elastic band and the second elastic band (24") orthogonally to the machine direction, wherein said first elastic band and said second elastic band (24") have respectively first connection zones and second connection zones (26") intermediate between said absorbent cores, - folding said continuous composite tape around a longitudinal axis parallel to the machine direction and overlapping said second elastic band (24") to said first elastic band, with the respective first and second connection zones (26', 26") superimposed on each other, - advancing said folded continuous composite tape on a rotating cutting unit on which the following operations are carried out: - carrying out on each of said second connection zones (26") superimposed on respective first connection zones two first cuts spaced apart from each other, - removing scrap portions of said second elastic band (24") between said first cuts, - carrying out on each of said first connection zones a second cut along a line intermediate between said first cuts, and - folding in opposite directions portions of said first connection zone located on opposite sides of said second cut and overlapping end edges of said first connection zone to corresponding end edges of said second connection zone (26"). - advancing in a machine direction a continuous composite tape in an outspread condition, formed by a continuous chain of blanks of absorbent sanitary articles oriented with the respective longitudinal axes transversal with respect to said machine direction, wherein said continuous composite tape comprises a first elastic band and a second elastic band (24"), parallel to said machine direction, and a plurality of absorbent cores which extend between the first elastic band and the second elastic band (24") orthogonally to the machine direction, wherein said first elastic band and said second elastic band (24") have respectively first connection zones and second connection zones (26") intermediate between said absorbent cores, - folding said continuous composite tape around a longitudinal axis parallel to the machine direction and overlapping said second elastic band (24") to said first elastic band, with the respective first and second connection zones (26', 26") superimposed on each other, - advancing said folded continuous composite tape on a rotating cutting unit on which the following operations are carried out: - carrying out on each of said second connection zones (26") superimposed on respective first connection zones two first cuts spaced apart from each other, - removing scrap portions of said second elastic band (24") between said first cuts, - carrying out on each of said first connection zones a second cut along a line intermediate between said first cuts, and - folding in opposite directions portions of said first connection zone located on opposite sides of said second cut and overlapping end edges of said first connection zone to corresponding end edges of said second connection zone (26").