A rotolinear mechanism for a glassware forming machine adapted to be connected to a funnel holder arm, a shutter arm, an arm for a blowing head or similar mechanism for simultaneously performing an axial and radial movement to each of such arms from a first position for forming articles to a second position outside the article forming process, the rotolinear mechanism is characterized by: a first housing having an open upper end and an open lower end; a first shaft having an upper end and a lower end, such first shaft located in alignment on the internal part of the first housing to internally slide in such first housing, between a first position and a second position, such first shaft includes a hollow passage from its upper end to about half of the total length thereof; such first shaft extends at its lower part beyond the open lower end of the first housing; the funnel holder arm, shutter arm, or arm for a blowing head is attached to the lower end of the first shaft; cam follower means attached to the outer periphery of the first shaft, such cam follower means is located at and below the open lower end of the first housing; linear actuating means coupled in the hollow passage of the first shaft, for converting a rotational motion into a linear motion, such linear actuating means have an upper end and a lower end; drive means coupled to the upper end of the linear actuating means, to provide a swiveling movement to such actuating means to the left or to the right and move the first shaft between such first position and the second position within such first housing; and, a second housing fixedly connected to the open lower part of the first housing, the second housing includes a cam profile, such cam follower means is located in continuous contact on the cam profile to cause an angular displacement of the first shaft and of such arms, leftward or rightward during the upward or downward movement of such first shaft. a first housing having an open upper end and an open lower end; a first shaft having an upper end and a lower end, such first shaft located in alignment on the internal part of the first housing to internally slide in such first housing, between a first position and a second position, such first shaft includes a hollow passage from its upper end to about half of the total length thereof; such first shaft extends at its lower part beyond the open lower end of the first housing; the funnel holder arm, shutter arm, or arm for a blowing head is attached to the lower end of the first shaft; cam follower means attached to the outer periphery of the first shaft, such cam follower means is located at and below the open lower end of the first housing; linear actuating means coupled in the hollow passage of the first shaft, for converting a rotational motion into a linear motion, such linear actuating means have an upper end and a lower end; drive means coupled to the upper end of the linear actuating means, to provide a swiveling movement to such actuating means to the left or to the right and move the first shaft between such first position and the second position within such first housing; and, a second housing fixedly connected to the open lower part of the first housing, the second housing includes a cam profile, such cam follower means is located in continuous contact on the cam profile to cause an angular displacement of the first shaft and of such arms, leftward or rightward during the upward or downward movement of such first shaft.