Criminal courts are usually trial courts with the authority to hear only matters relating to criminal prosecutions—and are said to have exclusive jurisdiction of criminal matters within the county, for example. And in some states there are appellate courts with exclusive jurisdiction over criminal appeals. For example, in Texas, the intermediate courts of appeals hear both civil and criminal cases, but the Texas Court of Criminal Appeals is the court of last resort for criminal matters, and hears appeals of criminal matters from the intermediate courts of appeal.
In Ohio, criminal courts are primarily structured with Municipal and County Courts handling misdemeanor cases and initial appearances for felonies, while the Courts of Common Pleas have general jurisdiction and handle felony cases. These trial courts are the first level where criminal prosecutions are heard. For appeals, Ohio has a tiered system with District Courts of Appeal serving as the intermediate appellate courts for both civil and criminal cases. The Ohio Supreme Court is the highest court in the state and has discretionary jurisdiction to review decisions of the Courts of Appeal. Unlike Texas, Ohio does not have a separate court system for criminal appeals; both civil and criminal appeals are integrated within the same court system. The Ohio Supreme Court can choose to hear criminal appeals from the Courts of Appeal, but it is not obligated to do so in every case.