Constitution of the United States vs US Constitution

Constitution of the United States and US Constitution both are nouns.

Word	Noun	Adjective	Verb	Adverb
Constitution of the United States	Yes	No	No	No
US Constitution	Yes	No	No	No

As nouns, Constitution of the United States and US Constitution are synonyms defined as:

Constitution of the United States and US Constitution: the constitution written at the Constitutional Convention in Philadelphia in 1787 and subsequently ratified by the original thirteen states

Other synonyms of Constitution of the United States include Constitution, U.S. Constitution, United States Constitution.

Constitution of the United States (noun)	US Constitution (noun)
the constitution written at the Constitutional Convention in Philadelphia in 1787 and subsequently ratified by the original thirteen states	the constitution written at the Constitutional Convention in Philadelphia in 1787 and subsequently ratified by the original thirteen states