An open roof construction for a vehicle comprises a rollo assembly (4) positioned below a roof opening and intended for covering the roof opening (1). The rollo assembly (4) comprises a rollo screen (5) and a winding shaft (6) for the rollo screen which is rotatable around a stationary axis of rotation (7). The rollo screen (5), starting from the winding shaft (6), firstly extends in a first direction (D1), next around a reversal member (8) and finally back in an opposite second direction (D2) and ends at a rollo screen edge (9) which is attached to a stationary member (10). The reversal member (8) is movable in parallel to said first and second directions (D1,D2) in correspondence with the amount of rollo screen (5) being wound on or off said winding shaft (6). The rollo screen has two longitudinal edges which, when the rollo screen is wound off, are brought into engagement with holding members extending alongside the longitudinal edges of the roof opening. The holding members each comprise a least a holding groove (16) having a narrow entrance (17). The longitudinal edges (11) of the rollo screen (5) each comprise a hooking member (25) which is insertable into the holding groove and hook behind the narrow entrance thereof. The reversal member (8) is provided with displacing means (22) acting on at least one of the hooking member and holding groove to enable the hooking member to enter and exit the holding groove.