Abstract: A folding umbrella having a rib assembly wherein an end rib is connected to a main rib through a connecting link, an auxiliary link is connected between the end rib and the main rib and adapted to be foldable with its articulate structure and a strut connected at its outer end to one of the connecting link, the end rib and the auxiliary link. With this rib assembly, the umbrella is capable of being closed into two positions, namely, a collapsed storage position and an uncollapsed extended position, and is capable of being contracted easily and smoothly from said uncollapsed position to the collapsed position.