The disclosure embraces a method of and apparatus for producing a roving package of strands of attenuated glass fibers or filaments, the method and apparatus involving segregating the fibers or filaments into bundles or strands in spaced relation and the bundles or strands wound into a package with the bundles or strands advanced toward the package in a plane substantially normal to the longitudinal axis of the package whereby the individual bundles or strands engage the package at peripherally spaced surface regions and are collected in side-by-side or waywound relation.