Court Structure of Texas '[:
The Supreme Court of Texas
Hears all civil appeals from the courts appeal .
Texas Court of Criminal Appeals
Handles all the criminal cases that have been appealed from the courts of appeal .
Courts of Appeal
Hear all the civil cases and criminal cases that are appealed from district or county courts , with the exception of death penalty cases .
Hear all criminal cases that are considered felonies , Hear civil cases that involve damage over $200 .
Hear rentals of cases appealed from justice of the peace or municipal court .
Justice of the Peace Courts
Misdemeanors which are punishable by a fine , but no jail time , issue search and arrest warrant , handle lawsuit involved damages for $5000 .
Misdemeanors which are punishable by a fine , but no jail time , Handle civil cases that invlove dangerous dog .