i was fired today for being accused of sleeping when i was not what are my options

If you have no employment agreement with the company or have no right to a hearing such as through a union or civil service board that would hear your case, your options are limited.  Most employees are considered "at will" employees which means you have generally have no right to challenge the termination in court, regardless of whether you were sleeping on duty or not. The exceptions to this is if you believe that the termination was in reality based on illegal discrimination (race, religion, age, etc.) or was taken in retaliation for certain complaints you have made that would be protected by the law.  These protected complaints include complaints about safety violations, work place injuries, overtime issues, and other matters.  You should speak to an attorney if you believe one of these areas apply to your case. Even in the absence of discrimination or retaliation, you should make a written appeal to the Director of HR or upper management clearly explaining and denying that you were not sleeping at the time and adding any defense that may apply.  If the appeal is worded properly, it may at least deter the company from telling future prospective employers about this false allegation