A conveyor device for transporting blanks destined to form cases, which blanks are presented either in an open and flat configuration or in a flattened tubular configuration, the device comprising at least a mobile housing (10, 11, 100, 101, 102, 103, 104) suitable for housing and transporting a quantity of blanks piled one on another to form a stack, the stack having a base defined by a blank located at a bottom of the stack, and a plurality of sides, each of which is defined by a set of lateral edges, facing in a same direction, of the plurality of blanks; wherein each housing comprises a first rest surface and a second rest surface, both surfaces being flat and oblique with respect to horizontal planes, which first and second surfaces (10, 11) are inclined with respect to one another by an internal angle, which is a right-angle or which is obtuse, such as to define a seating having a V-profile, the first and second rest surfaces (10, 11) being of such dimensions that a stack of blanks can be received and conveyed resting in the V-seating (10, 11) with the base thereof resting on the first surface and with a rest side of the stack resting on the second surface for all of a height thereof, so as to define, between the base and the rested side of the stack, an angle which is equal to the angle between the first and the second surfaces (10, 11) of the V-seating, whereby the stack is inclined, when housed in the housing (10, 11, 100, 101, 102, 103, 104), with each of the blanks resting on a lower surface thereof and on one of the lateral edges thereof, the conveyor device being characterized in that the device further comprises a straight-developing conveyor means, comprising both a straight conveyor branch, elongate and horizontal and able to slide longitudinally, and at least two support elements (10, 11, 100, 101, 102, 103, 104) which in use project superiorly from the conveyor branch, which, in use, are drawn in a horizontal translation by longitudinal sliding of the conveyor branch and which have a shape of a prism having a triangular base, each projecting support element (100, 101, 102, 103, 104) further having a larger surface and a smaller surface that are rectangular, consecutive and oblique with respect to horizontal planes, inclined to one another at an upper corner by an upper angle, being a right-angle or an obtuse angle, and arranged transversally to the longitudinal development of the conveyor means, the two support elements being, in use, consecutive in the longitudinal development of the conveyor branch and also arranged with respect to one another such that the larger surface of one and the smaller surface of the other together define the V-seating of the mobile housing, in which the larger surface of a support element is the first rest surface and the smaller surface of the other support element is the second rest surface, whereby the angle formed between the first and the second rest surface (10, 11) is equal to said upper angle, and in that the conveyor means comprises a plurality of transversal plates, flanked two by two such as to define a closed sliding conveyor loop, the closed loop being guided by guide means, included in the conveyor device, comprising two return pulleys about which the conveyor loop is wound such that the conveyor loop superiorly defines, instant by instant, said elongate and horizontal straight conveyor branch, in which the plates are coplanar; the conveyor device comprising activating means for activating the sliding of the conveyor loop, each plate fixedly bearing a polyhedral member (100, 101, 102, 103, 104) projecting externally of the closed loop, each polyhedral member (100, 101, 102, 103, 104) being a portion of one of said support elements, the polyhedral members being arrangeable with respect to one another, when the respective plate is in the upper straight branch, in such a way as to form together a plurality of said support elements, which are consecutive and defines two-by-two a relative V-seating (10, 11).