A canopy frame particularly applicable for deck chairs, garden chairs, beach chairs and the like, which can easily be assembled or disassembled in the place itself to be used or carried by the user which comprises a set of flexible rods coupled with each other in an axial way and which define respective side poles which are extended respectively like an arc on opposite sides of the chair or deck chair and separated between them by a distance which is the same or bigger that the space covered by said chair under the frame and a set of rigid rods which define the respective mounting supports of the side poles. The rods of said mounting supports have a horizontal segment which define a coupling tip to the chair or deck chair and a coupling tip to the corresponding side pole. On a segment of the length of the side poles and between them, is mounted in a retractile way by means of knots made by “hoop & loop” like fabric strips, a cover to prevent either partially or fully the sunrays from hitting the space occupied by the chair or deck chair. In this way, the cover can be moved along the side poles according to the variations in the direction of the sunrays to get the amount of shade the user wants.