He was appointed a tutor at Harvard in 1795. In 1801, he married Mary Kneeland, with whom he had eight children, including Frederic Henry Hedge, who became a clergyman, transcendentalist, scholar of German literature, and also a Harvard professor. In 1810, Hedge became professor of logic and metaphysics. He published Elements of Logick (Boston, 1818), which went through many editions, and was translated into German. In 1827 he moved to the Alford professorship of natural religion, moral philosophy, and civil polity. That year, also prepared an abridgment of Thomas Brown's Mental Philosophy (1827). An attack of paralysis compelled him to resign from Harvard in 1830. He died in Cambridge, Massachusetts in 1844.