A method is provided for reinforcing medical balloons in order to withstand high internal pressures without excessive dilation of the reinforced balloon. The method calls for the use of continuous filament high modulus yarns in a braided structure, pressurizing the balloon, inserting the pressurized balloon inside the braided structure, applying axial tension on the braid, thus causing the braided structure to collapse onto and conform to the shape of the pressurized balloon and bonding the reinforcement braid yarns to the exterior surface of the pressurized balloon.