A labelling machine for applying at least one sleeve label on a respective article, comprising: - a conveyor movable along a path comprising, in turn, a first inlet station for said article still to be labelled and a second outlet station for said labelled article; said conveyor comprising a handling device adapted to displace parallel to a first axis transversal to said path, said article still to be labelled from a relative lifted position to a relative retracted position, while said article is travelling, in use, along a first segment (ε) of said path, so as to insert said article still to be labelled within said sleeve label; said labelling machine further comprising a transfer module adapted to transfer a flat label to said handling device at a transfer distance from a reference plane (22, 27), said handling device being movable integrally with said conveyor along said path; said handling device being adapted to also form said sleeve label from said flat label and at said transfer distance from said reference plane (22, 27); characterised in that said conveyor also comprises a positioning device adapted to actively position said sleeve label in a desired position with respect to said article along a second segment (μ) of said path; said first segment (ε) being comprised within said second segment (μ); said transfer distance being adjustable, so that the final position for applying said sleeve label on respective article can be adjusted; said positioning device being adapted to maintain, in use, said sleeve label at said transfer distance from said reference plane (22, 27), when respective hardling devices move integrally with corresponding articles from the relative lifted position to the relative totally retracted position along said first segment (ε). - a conveyor movable along a path comprising, in turn, a first inlet station for said article still to be labelled and a second outlet station for said labelled article; said conveyor comprising a handling device adapted to displace parallel to a first axis transversal to said path, said article still to be labelled from a relative lifted position to a relative retracted position, while said article is travelling, in use, along a first segment (ε) of said path, so as to insert said article still to be labelled within said sleeve label; said labelling machine further comprising a transfer module adapted to transfer a flat label to said handling device at a transfer distance from a reference plane (22, 27), said handling device being movable integrally with said conveyor along said path; said handling device being adapted to also form said sleeve label from said flat label and at said transfer distance from said reference plane (22, 27); characterised in that said conveyor also comprises a positioning device adapted to actively position said sleeve label in a desired position with respect to said article along a second segment (μ) of said path; said first segment (ε) being comprised within said second segment (μ); said transfer distance being adjustable, so that the final position for applying said sleeve label on respective article can be adjusted; said positioning device being adapted to maintain, in use, said sleeve label at said transfer distance from said reference plane (22, 27), when respective hardling devices move integrally with corresponding articles from the relative lifted position to the relative totally retracted position along said first segment (ε).