It depends on what you mean by
America. If you mean the US, the title seems to be up for grabs - see
First university in the United States - Wikipedia.
As noted there:
"
First university in the United States is a status
asserted by more than one U.S. university.
Historically, when the Philippines was still a United States territory, the
University of Santo Tomas (established in 1611) was considered the oldest university under the American flag.[1] Presently in the United States, there is no official definition of what entitles an institution to be considered a university versus a college, and the common understanding of university has evolved over time. ...
"The issue is further confused by the fact that
at time of founding of many of the institutions in question, the
United States didn't exist as a sovereign nation. Moreover, questions of institutional continuity sometimes make it difficult to determine the true "age" of any institution. Furthermore, contesting of the status of first university should not be confused with the contesting of the status of oldest public university in the United States, which is a title claimed by the University of North Carolina at Chapel Hill (first operating), University of Georgia (first chartered), and the College of William & Mary (initially private)."
(My emphasis - more @ the URL)
So - you pays your money & you takes your chances.
If you mean the Western Hemisphere, it's a different winner:
"The
Universidad Santo Tomás de Aquino (or University of Saint Thomas Aquinas) in present-day Santo Domingo, Dominican Republic) was the
first university in the New World. Founded as a seminary for Roman Catholic monks of the Dominican Order in 1518, it was made a university by a papal bill on October 28, 1538."
(See
https://www.guinnessworldrecords.co...niversity,by a papal bill on October 28, 1538.)