Abstract: In combination, a baseball style cap has a crown portion, a bill portion, and a portion for mounting a high intensity lamp to the bill portion. The mounting portion comprises a relatively stiff steel support rod having a first end bent so as to be located in a plane parallel to the bill of the hat for attachment thereto. Another portion of the support extends in an upwardly angled direction from the first end, and a second end extends substantially normal to a plane defined by the first end. The portion of the support bent in an upwardly angled direction and the connection portion are attached to an outer surface of the lamp for receiving the second end of the lamp support. The connection portion comprises an outer non-resilient tube bonded to the lamp and an inner resilient tube inserted into the outer tube.