The printing machine comprises a support plate (1) provided, on the periphery thereof, with a plurality of receiving elements (3, 3a, 3b, 3c) for receiving articles (4) rotatably mounted on the support plate (1), and means (2) for rotating the support plate (1) in order to place two articles (4a, 4b), mounted on the associated receiving elements (3, 3a, 3b, 3c) thereof, respectively facing two separate printing stations (5a, 5b), said printing stations (5a, 5b) being supported by a same base (101). The machine further comprises means for generating a relative translational movement between the base (101) and the support plate (1) to allow the helical printing of patterns on the articles (4) during the rotation of the receiving elements (3, 3a, 3b, 3c).