The present invention relates to a roll-up blind (5) for the rear window (4) of a vehicle that comprises two actuation levers (9, 11) for displacing a tension rod (13) in order to unwind or take up the cloth (12) of the blind. The levers (9, 11) are arranged so that when the blind is unwound, the tension rod (13) is pushed with a pre-stress force against the glass of the rear window (4). In order to avoid any damage to the heating wires, the rear end of tension rod (13) comprises guiding members (41) which are mounted so as to be capable of displacement on said tension rod (13). When the blind (5) is unwound, the guiding members protrude above the outer outline of the tension rod (13) and maintain said tension rod (13) away from the glass of the rear window (4) since they are themselves located against the glass of said rear window (4). When the blind is wound up, the guiding members are brought back behind the outer outline of the tension rod (13) so that they can be stored in the slot (7) from where the blind cloth (12) comes out, thus avoiding any need to provide cavities for said guiding members (41) on the edges (22) of the slot.