A minor traffic offense will not render you ineligible to travel visa free under the Visa Waiver Program, or ineligible to apply for a visa.
However, if you have an outstanding fine, or you did not attend the court hearing, it is possible there may be a warrant out for your arrest. If this is the case you may experience problems when applying for admission into the U.S. Therefore, you should resolve the issue before traveling by either contacting the police authorities or court where you were to appear. If you do not know the address of the police authorities or court, the information is available from the internet at: www.refdesk.com.