A pair of swimming goggles includes two lenses, two pads, a bridge, and a strap. The lenses are made of transparent material and each includes a recessed section for receiving an eye portion of a user. Each lens further includes an inner end, a streamlined outer end, and a flange formed on an inner side thereof. The bridge interconnects the inner ends of the lenses. The pads are substantially ring-like and made of plastic material. Each pad includes a receiving section for receiving an associated flange and a contact section for providing a close, comfortable contact with the user's eye socket. Each pad further includes an outer end with an opening through which one of the ends of the strap is wound. The strap connection is thus improved to provide a larger visual angle, increase safety, and provide a comfortable and reliable contact with the user's head.