There are a few things that can cause a tire to wobble, and thankfully there are just as many ways to fix the issue. One of the most common causes of a wobbly tire is an imbalance in the tire itself. This can happen if the tire is old and has worn down unevenly, or if it’s been damaged (perhaps by hitting a pothole). The solution here is to have the tire rebalanced by a professional.
Another potential cause of tire wobble is an alignment issue. If your car’s wheels are not properly aligned, it can cause your tires to point in different directions when you’re driving. This will make your car pull to one side, and can also lead to premature wear on your tires. The solution here is to get a wheel alignment from a qualified mechanic.
Finally, another possible reason for tire wobble is incorrect air pressure in one or more of your tires. If a tire is underinflated, it will flex more than usual as you drive and this can lead to vibration and ultimately wobbling. Conversely, if a tire is overinflated, it will be less flexible and could also lead to vibrations which could cause wobbling. In either case, the solution is simply to check the air pressure in all four of your tires (including the spare!) and inflate or deflate them as needed until they’re at the correct level.