A deployable space reflector comprising: a deployable peripheral support framework, a reflecting surface and a tensioning framework for shaping the reflecting surface, a deployment mechanism and a latching mechanism, wherein - the peripheral support framework comprises: two deployable peripheral polygonal rings consisting of interconnected rods (9, 10, 14), the peripheral support framework further comprises connecting rods, wherein the connecting rods provide a predetermined separation of the polygonal rings, - the interconnected rods (9, 10, 14) of the first of the polygonal rings are with full cross rods (9, 10), the interconnected rods of the second of the polygonal rings are single interconnected rods, wherein each side of the first polygonal ring comprises two full cross rods (9, 10) and each side of the second polygonal ring comprises one single interconnected rod, - the full cross rods (9, 10) comprise fittings, - each of the interconnected rods (9, 10, 14) is placed in a different plane and each of the interconnected rods (9, 10, 14) is connected to two parallel connecting rods, - one end of each of the full cross rods (9, 10) of the first polygonal ring comprises a fixed hinge and is connected to one of the two parallel connecting rods with the fixed hinge and the other end of each of full cross rods (9, 10) comprises a hinge and is connected to the other parallel connecting rod by the hinge configured to allow translation over the length of the other parallel connecting rod, - one end of each of the single interconnected rods is hinged fixed to one of the two parallel connecting rods and the other end of each of the single interconnected rods is hinged and configured to allow translation along the connecting rod, - the fittings are mounted on the ends of each of the full cross rods (9, 10). - the peripheral support framework comprises: two deployable peripheral polygonal rings consisting of interconnected rods (9, 10, 14), the peripheral support framework further comprises connecting rods, wherein the connecting rods provide a predetermined separation of the polygonal rings, - the interconnected rods (9, 10, 14) of the first of the polygonal rings are with full cross rods (9, 10), the interconnected rods of the second of the polygonal rings are single interconnected rods, - the full cross rods (9, 10) comprise fittings, - each of the interconnected rods (9, 10, 14) is placed in a different plane and each of the interconnected rods (9, 10, 14) is connected to two parallel connecting rods, - one end of each of the full cross rods (9, 10) of the first polygonal ring comprises a fixed hinge and is connected to one of the two parallel connecting rods with the fixed hinge and the other end of each of full cross rods (9, 10) comprises a hinge and is connected to the other parallel connecting rod by the hinge configured to allow translation over the length of the other parallel connecting rod, - one end of each of the single interconnected rods is hinged fixed to one of the two parallel connecting rods and the other end of each of the single interconnected rods is hinged and configured to allow translation along the connecting rod, - the fittings are mounted on the ends of each of the full cross rods (9, 10).