In the United States, the U. S. Supreme Court has the highest appellate jurisdiction over cases involving the US Constitution.
In the individual states within the United States, the state supreme court (or its equivalent) has the highest appellate jurisdiction over cases involving state statutes and state constitutional law, except when the case involves a preserved federal question (a relevant US constitutional issue). In such instances, the US Supreme Court has final authority, although they may not choose to exercise it.
That depends on what kind of case and what kind of jurisdiction you're asking about. Since the US Supreme Court doesn't have jurisdiction over every case in the nation, any blanket statement claiming they have the "highest jurisdiction" would have enough exceptions to make the statement false.
It's not unusual for a state supreme court to have the highest appellate jurisdiction over certain state cases and the US Supreme Court to have no jurisdiction at all over those same cases. On the other hand, if the state case involves a preserved federal question (one raised at the trial and every appellate level), the US Supreme Court may have ultimate appellate jurisdiction.
Congress can also strip the Supreme Court of appellate jurisdiction over certain types of cases, assigning the "highest jurisdiction" to another federal court.
As far as original jurisdiction goes, the US Supreme Court has limitations in that area, as well.
Unfortunately, what seems like a simple question that deserves a simple answer, really can't be answered accurately without more detail. Either the question needs to be specific, or the answer has to alert the reader to common exceptions.
In the US Federal court system, the Supreme Court of the United States is the highest appellate court. The State court systems have their own supreme courts (or equivalents) that hear final appeals for both civil and criminal cases related to state laws and state constitutional issues.
The Supreme Court is the highest court in the U.S. It is the final court of appeals for all lower federal courts.
Appellate court
The Supreme Court of Canada is the highest court in the country. It hears appeals fro the provincial Courts of Appeal
The appellate court.
The Supreme Court of Canada is the highest judicial body in Canada. It hears final appeals and decides on issues that are relevant to all Canadians. The government may also ask for a reference from the Supreme Court if it needs advice on a particular issue.
You might be referring to an appeals court.
The Court of Appeals of Virginia, is an eleven-judge body that hears appeals from decisions of Virginia's circuit courts and the Virginia Workers' Compensation Commission. The Court sits in panels of at least three judges, and sometimes hears cases en banc (i.e.: ALL 11 judges). The Court of Appeals does not conduct jury trials. Appeals of the findings of the Court of Appeals go to the Supreme Court of Virginia.
A court of appeals hears no original cases, it only reviews decisions made by lower courts. A US district court hears original cases, that are in the federal jurisdiction.
The California Circuit Court of Appeals.
Maryland's supreme court is calle the Court of Appeals.
The US Court of Appeals Circuit Courts hear most of the appeals from "lower courts" in the federal court system. The US Supreme Court has the highest federal appellate jurisdiction, and typically hears appeals from the Circuit Courts, although it sometimes hears cases on direct appeal from the US District Courts. Both of these would be considered "lower courts."
Federal Appeals Courts