An impact absorbing flexible support system, comprising a plurality of fluid filled chambers disposed in a plurality of longitudinal rows and a plurality of lateral rows, forming a matrix of said fluid filled chambers and an article of footwear containing such a flexible support system. Each chamber is fluidly connected to at least two other fluid filled chambers and has a vertically tapered shape to provide flexibility of movement. The support system is made from air tight thermoplastic film and is inflatable. The support system may have one or more larger fluid filled chamber is disposed amongst said matrix of chambers.