A chair support apparatus includes partially affixed first and second flexible panels with a first and second outer periphery portion respectively, also a plurality of channels are formed between the first and second flexible panels bounded by the partial affixment. Also, a plurality of straps are disposed within each one of the channels, wherein each of the straps has a pair of extensions that extend beyond the first and second outer peripheries, each strap has a slip fit engagement within each channel allowing relative movement between the first and second flexible panels and the strap. Operationally, each of the strap extensions is engaged to a beam of a chair for drawing taut a plurality of portions of the first and second flexible panels resulting in a remaining plurality of portions of the first and second flexible panels drooping from the relative movement as between the taut portions to retain accessories.