Abstract: A rotary braiding machine interweaves strands to form a braid for a work piece, such as a hydraulic hose or the like. A frame has a central axis about which strands of fiber are braided. Inner bobbin-carrier assemblies and outer bobbin-carrier assemblies are carried circumferentially on the frame. The inner bobbin-carrier assemblies are rotatably supported by the frame radially outwardly of the central axis, are separated by recesses, and each supports a strand supply bobbin. Each of the inner bobbin-carrier assemblies has an inner tensioning and control assembly to pay-out a first strand of one or more fibers from its bobbin and to position the first strand in substantially perpendicular relation to the central axis of the frame. The outer bobbin-carrier assemblies are rotatably supported by the frame radially outwardly of the central axis and of the inner array of strand supply bobbins.