Joseph Anton Koch was an Austrian painter of Neoclassicism and later the German Romantic movement; he is perhaps the most significant neoclassical landscape painter.

The Tyrolese painter was born in Elbigenalp. Early in his life he was tending cattle. Through the recommendation of Bishop Umgelder (1785), he received academic training in the Karlsschule Stuttgart, a strict military academy. In 1791, he ran away, and traveled through France and Switzerland. He arrived in Rome in 1795. Koch was close to the painter Asmus Jacob Carstens and carried on Carstens' "heroic" art, at first in a literal manner. He etched the pages of Carstens' Les Argonautes, selon Pindar, Orphée et Apollonius de Rhode (Rome, 1799).

After 1800, Koch developed as a landscape painter. In Rome, he espoused a new type of "heroic" landscape, revising the classical compositions of Poussin and Lorrain with a more rugged, mountainous scenery. In 1812, forced through inadequate income from his work, or in protest of the French invasion, he went to Vienna, where he worked prolifically. He stayed in Vienna until 1815. During this period, he incorporated more non-classical themes in his work. In Vienna, he was influenced by Friedrich Schlegel and enthusiasts of old German art. In response, his style became harsher.

Koch returned to Rome, and became a conspicuous figure in the German artists' colony there. He painted, among other works, the four frescoes in the Dante Room of the Villa Massimi (1824–1829). His presence and personality had considerable influence among the younger generation in the art life of Rome, and his new approach had a wide influence on German landscape painters who visited Rome.

He wrote Moderne Kunstchronik oder die rumfordische Suppe gekocht und geschrieben von J. A. Koch (Stuttgart, 1834) which was directed humorously against unjustifiable criticism and false connoisseurship.

Koch's last years were spent in great poverty. He died in Rome, where he was buried in the Teutonic Cemetery, located next to St. Peter's Basilica within Vatican City.