In 1837 he became professor of Hebrew at Andover, and from 1848 until his death was associate professor of sacred literature there.
From 1876 almost until his death he was connected with the Johns Hopkins University, Baltimore, Maryland, being in turn a fellow, an associate in history (1878-1883), an associate professor (1883-1891) and after 1891 professor of American and institutional history.
He was associate professor of history and political economy at Bryn Mawr in1885-1888and at Wesleyan University in 1888-1890; professor of jurisprudence and political economy at Princeton in 1890-1895, of jurisprudence in 1895-1897, and subsequently of jurisprudence and politics; and in 1902 he became president of Princeton University, being the first layman to hold that office.
From 1892 to 1905 he was at the university of Chicago as associate professor of astrophysics, as professor (from 1897), and as director of the Yerkes Observatory (after 1895).
Vorona is an associate professor in the Division of Sleep Medicine, and is board certified in Sleep Disorders, Pulmonary Medicine, and Internal Medicine.