* As part of a proper noun: Yes, capitalize "Territories" when it's part of a proper name like "Northern Territories" or "U.S. Territories."
* As a general term: No, don't capitalize "territories" when it's used as a general term, like "The government has control over several territories."
Example:
* Correct: "The United States has several Territories." (Proper noun)
* Correct: "The explorers claimed new territories for their country." (General term)
Let me know if you have more specific examples in mind!