* As a subject: It should be written Natural Science, capitalized like other subjects (e.g., English, History, Math).
* As a general term: It should be written natural science, lowercase like other general terms (e.g., social science, physical science).
Here are some examples:
* Natural Science is a broad field of study.
* She majored in Natural Science at university.
* The study of the universe falls under natural science.
* The museum has a special exhibit on the history of natural science.
Ultimately, the best way to determine which capitalization is correct is to consider the context and the intended meaning.