The Baths of Zeuxippus were popular public baths in the city of Constantinople, the capital of the Byzantine Empire, and took their name because they were built on a site previously occupied by a Temple of Zeus (Jupiter) They were constructed around 500 yards south of the much older baths of Achilles on the earlier Greek Acropolis in Byzantion. Built between 100 and 200, the Baths of Zeuxippus were destroyed during the Nika revolt of 532 and then rebuilt several years later. They were famed primarily for the many statues inside them, and for the famous people they represented.
The 12th-century scholar Zonaras claimed that Septimius Severus had connected the baths to the Hippodrome. However, Leontius, who was generally more accurate in his writings (which also predated those of Zonaras), asserted that the baths were not actually connected to the Hippodrome, but were simply close to it:
Between Zeuxippus' cool refreshing baths,
And the famed Hippodrome's swift course I stand.
Let the spectator, where he bathes himself
Or sees the struggling steed panting for breath
Pay a kind visit, to enhance his pleasures;
He'll find a hearty welcome at my table.
Or if more manly sports his mind affects,
Practice the rough diversions of the stadia.
The Baths of Zeuxippus were also close (most probably adjacent) to the Great Palace grounds. This suggests their great popularity, since such a significant location would have attracted many people. The Baths were also close to the square of the Augustaeum and the basilica of Hagia Sophia.
The map to the right shows the Baths' approximate location within Constantinople, as determined by excavations. As can be seen, the Baths were roughly rectangular in shape, and were very close to, or even "connected" to the Palace, as Zonaras indicated.
The original baths, which were founded and built by Septimius Severus, and decorated under Constantine I were adorned with numerous mosaics and over eighty statues, mostly of historical figures including Homer, Hesiod, Plato, Aristotle, Julius Caesar, Demosthenes, Aeschines and Virgil, as well as the figures of gods and mythological heroes;. These statues were gathered from various places worldwide, including Asia, Rome, Greece and Asia Minor. The decor of the Baths followed an architectural trend of the period; the Palaces of the Senate and of the Forums, and the Palace of Lausus were adorned with similar statues of heroes (mythological and not), historical figures and powerful people.
For a relatively small fee, any member of the public could gain admission to the bath complex.Although it was primarily used for public bathing, people could also exercise and enjoy a variety of recreational activities there. Attendants were paid to oversee the activities, enforcing opening and closing times, and the rules of conduct. Men and women were not allowed to bathe together; they would either use separate baths, or bathe at different times of day.
The Baths of Zeuxippus were particularly popular with the citizens of Constantinople, even though numerous other bathhouses were also available. Even monks and members of the clergy could be seen there, despite the insistence of their superiors that the baths were places of impious behaviour.
As a result of the Nika revolt of 532 - the worst uprising Constantinople had seen and which left half the city in ruins and thousands of people dead - the original Baths of Zeuxippus were destroyed in a fire. While Justinian had them rebuilt, he could not recreate or restore the statues or the antiquities that were lost.
In the early 7th century, as a result of military and political pressure on the Byzantine Empire, public bathing changed from being a common luxury to a rare and infrequent one, and many public facilities and venues began to be used instead by the military. The last reference to the Baths of Zeuxippus being used for bathing occurred in 713, after which they were converted to other uses. Part of the bathhouse became a prison known as Noumera, while another part appears to have been used as a silk workshop.
Almost 1,000 years later, in 1556, the Ottoman architect Mimar Sinan built the Haseki Hürrem Sultan Hamamı on the same grounds. 
In 1927–1928, excavations on the site recovered many historical relics, such as earthenware and glazed pottery, which provided unique insights into the architectural designs and social interests of Constantinople. The most important objects found at the site were two statues inscribed with the words Hekabe and Aeschenes [sic] , giving rise to the theory that Christodorus of Coptus effectively wrote the six epigrams on the statues of the Baths, and lending further plausibility to the writings of Zonaras and Leontius.
Christodorus of Coptus, an Egyptian poet and writer, wrote a lengthy (416 lines long) hexameter poem inspired by the statues adorning the Baths of Zeuxippus. The poem consisted of a number of short epigrams (six in total), each focusing on one or a small group of the statues, that were designed to form one work. While it has been suggested that these epigrams might have been inscribed on the bases of the statues themselves, this is unlikely because of his use of the ekphrastic medium, and the presence of the past tense in the text.