Explore this page to learn about ways you might be able to get your deportation case "terminated" (i.e. dismissed) by an immigration judge.
PROVE U.S. CITIZENSHIP: A U.S. citizen cannot be deported.  Some people who were born outside the United States might be U.S. citizens and not even know it.  This is especially true when one or both of a person's parents is a U.S. citizenship.  Whether somebody inherited (or "derived", to use the legal term) U.S. citizenship from a parent is a very complicated question and will typically require the aide of an attorney to answer.  If you can show an immigration judge that you are in fact a U.S. citizen, your deportation case will be dismissed.
PUT THE PROSECUTOR TO THEIR BURDEN:  In many deportation cases, especially those in which the alien has a prior lawful admission to the United States, the U.S. government must prove you are deportable.  If their evidence on that point is missing, flawed, or in some other way insufficient, an immigration judge might decide the government has not met its burden of proof, in which case your deportation proceedings will be dismissed.  A skilled immigration attorney can help you point out problems with the government's evidence against you.  
MOTION TO SUPPRESS: If the U.S. government obtained evidence against you through illegal means that violate the U.S. constitution, it may be possible to have that evidence thrown out by filing a motion to suppress.  If the government's evidence is suppressed, your case will likely be terminated.  Motions to suppress are complicated and require a great deal of legal research.  The assistance of an experienced immigration attorney is recommended.