A roller blinds structure, having a casing provided with side walls that define an inner chamber intended to house drive means linked to a blind or similar, and guide profiles able to be located at opposite ends of the casing, which are configured to guide the blind or similar, the guide profiles being intended to extend in a downward direction with respect to the positioning of the casing, including an attachment system to attach each one of the guide profiles and the casing. The attachment system includes a first interconnection member able to be coupled to one end of the casing by means of fixing means and a connector member able to be coupled to the first interconnection member by means of first releasable quick-fit means and able to be coupled to a respective guide profile by means of second releasable quick-fit means.