No, there is not the universal size of lug nuts or wrenches. But luckily, there are only about ten thread sizes and pitches that can make up a lug nut and wrench size. Here the most commonly used and available types are cross shapes universal lug wrench that features four different socket sizes. On the other hand, you can find an L-shaped iron with a socket on one end and a wedge on the other. But the latter mentioned are not popular due to lack of versatility.