Would traffic tickets affect a green card application?

Generally, a single traffic offense for which an immigration applicant paid a fine will not stand in the way of eligibility to become a Lawful Permanent Resident (to get a "Green Card"). Failure to pay a fine ordered by a court, however, may be viewed as a lack of attachment to the laws of the U.S. and/or an act showing lack of good moral character. It would be wise to pay any fine that has been imposed by a court, and it also would be wise to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.