A system for attaching safety glasses to headwear often called a "helmet" or a "hard-hat" has multiple adjustments that fit the glasses to the individual user and that allow the user to flip the glasses back and forth between in-use and removed positions. The preferred system includes a base piece that attaches to the interior or underside of the helmet, near the wearer's face at or near the junction of the helmet's bill/brim and dome. A preferred second piece receives a portion of the glasses at its distal end, and, at its proximal end, slideably connects to the base piece. The second piece may be locked at various positions relative to the base piece, to adjust, either incrementally or continuously, the distance of the glasses from the helmet. This slidable adjustment between the base piece and second piece makes it possible to adjust the glasses in a generally vertical direction, that is, generally parallel to the plane of the lenses of the glasses when being used, as best suits the particular user. The clamping or gripping mechanism on the second piece distal end allows the glasses to pivot relative to the second piece and, hence, to the helmet. Thus, the user may pivot the glasses up from the eyes, out of his line of sight, or down in front of the eyes as close to the user's face as desired. This pivoting, then, provides some horizontal adjustment in the position of the glasses relative to the eyes and nose. Further, at least some portions of the preferred system are flexible or are flexibly connected to the helmet to absorb shock created when the helmet or safety glasses are struck.