For additional meanings of "Republic", please see Republic.
A republic, or république in the French language, was a type of government where the political power lies within the citizens their representatives.
An early and short-lived nation on Earth was the Republic of Texas. (DS9: "Badda-Bing, Badda-Bang"; LD: "The Stars At Night")
As of 2024, the official name of France was the République française in the French language, or French Republic in the English language. (PIC: "Fly Me to the Moon")
The Constitution of the United States referred to the United States of America as a republic. (TOS: "The Omega Glory")
The government of Platonius was also a republic. (TOS: "Plato's Stepchildren")