The goggle mounting system comprises protective goggles which carry one strap on each side for attachment to a helmet. The straps are flexible and resilient. The attachment of the straps to the helmet is such that the strap on only one side is easily disconnectable, while the strap on the other side is pivoted to the helmet and remains connected. The strap fasteners differ from one another in that one strap is attached to the helmet by means of mating sections of Velcro, respectively attached to the side of the helmet and the other fixedly attached to the strap. The other strap is attached to the helmet by a resilient snap fixed to the helmet and a mating member on the end of the strap.