As Mushroom 25 indicates, you could probably get into the USA using the Visa Waiver form. However, officially you require a visa.
Minor traffic offences don't exclude someone from (legally) entering the USA under the Visa Waiver Program but any arrestable offence does.
If you want to play safe and obtain a visa (which takes around 5 months), follow the procedure outlined in my posts here:
http://www.theanswerbank.co.uk/Travel/Question 289769.html
(Note that, in order to get the links to work, you should read the last post first).
Chris