If you have a speeding ticket on your driving record, it might be possible to get it removed – but it will depend on the type of violation, as well as how much time has passed since it took place, and what original actions you might have taken in order to deal with it.
In many states, at the time you receive the ticket, you can go to court and ask for the option of attending traffic school. Doing this will cost you a fee and will take some time and effort, but it can also mean that the ticket will not be placed on your record. Many drivers elect this option, particularly when it means that they won't accumulate points on their record that could lead to major penalties, or when their insurance rates are threatening to go up should they get another violation.
If the ticket is already a done deal, you don't have many options for removing it, but keep in mind that after a certain amount of time the violation will disappear from the record. The amount of time this takes varies depending on the specific violation itself as well as the state in which you live, but in most cases moving violations will disappear within seven years or so. They will often stop affecting your insurance rate sooner than that, and typically when violations are a few years old they will lose their impact on your current record, so sometimes the best option is simply to wait and let time take its course. If you do decide to try to get the ticket removed, hiring a lawyer can greatly increase you chance of doing so succsessfully.