A greenhouse or glasshouse structure comprises a cover (1) composed of parallel gutters (2) and ridges (3), and supported by columns (31), light-transmitting panels (4) between a gutter (2) and a ridge (3), as well as a screen installation (5) supported on the ridges (3) and having stop profiles (6) extending transversely above the ridges (3), supporting means (7) between the ridges (3) and the stop profiles (6), screen profiles (8), screen cloths (9) which are in each case provided between a stop profile (6) and a screen profile (8), as well as guide and drive means (10) for moving the screen profiles (8) and screen cloths (9) between an open position, in which the screen cloths (9) are pushed together to form a packet between in each case a stop profile (6) and a screen profile (8), and a closed position in which the screen cloths (9) cover an area. The attachment means (11) of the supporting means (7) with the stop profiles (6) and/or the attachment means (12) of the supporting means (7) with the ridges (3) are substantially torque-free with respect to rotations about an axis of rotation parallel to the ridges (3). In addition, stabilizing means (26) are provided for stabilizing the screen installation (5) with respect to forces and/or movements which are directed transversely to the ridges (3).
