Abstract: An inflatable balloon, and method of making same, for a medical catheter includes a base layer or non-compliant balloon substrate, a reinforcing layer, an adhesive. layer adhering the reinforcing layer to the non-compliant balloon substrate, and a top coat layer. The reinforcing layer is a single ply matrix of interwoven strands applied to the non-compliant balloon substrate. There are preferably three sets of strands in the single ply matrix. One set of strands extends in a longitudinal direction. Another set of strands extends circumferentially in a helical fashion with a clockwise orientation at an angle of approximately 65° with the strands that extend in the longitudinal direction. The third set of strands extends circumferentially in a helical fashion with a counter-clockwise orientation at an angle of approximately 65° with the strands that extend in the longitudinal direction.