Device for portioning a continuous strand in order to form portions, especially sausages, comprising - pinching means comprising at least one pair of opposite pliers (4,5;104,105) able to be moved toward one another by the first actuation means (2,2') from an open position to a closed position in order to pinch the strand, with each plier of the pair comprising at least one plate (41,42;51,52;141,142;151,152) provided at the end with a front pinching edge, with the two pliers being shifted in relation to one another in such a way that, during their displacement towards the closed position, the plates form via their front edge a passage or diaphragm whose cross-section decreases progressively, and - cutting means comprising at least one blade (61,161) associated to the pair of pliers able to be actuated by second actuation means in order to cut the strand, each plier (4, 5; 104, 105) of said pair (3a, 3b) comprising at least a first plate (41, 51; 141, 151) and a second plate (42, 52; 142, 152) arranged in such a way that, during the displacement of the pliers towards their closed position, the first plates and the second plates form respectively via their front edge (41a, 51a; 141a, 151a; 42a, 52a; 142a, 152a) a first passage (81, 181) and a second passage (82, 182) with a variable cross-section, said blade (61, 161) associated to said pair of pliers being able to be moved transversally to the plates between the first passage and the second passage in order to cut the strand, characterised in that the displacement speed of the pliers being substantially equal to the transport speed of the strand when the pliers are in contact with the strand for the pinching and cutting operations. - pinching means comprising at least one pair of opposite pliers (4,5;104,105) able to be moved toward one another by the first actuation means (2,2') from an open position to a closed position in order to pinch the strand, with each plier of the pair comprising at least one plate (41,42;51,52;141,142;151,152) provided at the end with a front pinching edge, with the two pliers being shifted in relation to one another in such a way that, during their displacement towards the closed position, the plates form via their front edge a passage or diaphragm whose cross-section decreases progressively, and - cutting means comprising at least one blade (61,161) associated to the pair of pliers able to be actuated by second actuation means in order to cut the strand, each plier (4, 5; 104, 105) of said pair (3a, 3b) comprising at least a first plate (41, 51; 141, 151) and a second plate (42, 52; 142, 152) arranged in such a way that, during the displacement of the pliers towards their closed position, the first plates and the second plates form respectively via their front edge (41a, 51a; 141a, 151a; 42a, 52a; 142a, 152a) a first passage (81, 181) and a second passage (82, 182) with a variable cross-section, said blade (61, 161) associated to said pair of pliers being able to be moved transversally to the plates between the first passage and the second passage in order to cut the strand, characterised in that the displacement speed of the pliers being substantially equal to the transport speed of the strand when the pliers are in contact with the strand for the pinching and cutting operations.