What Met branch in Fort Tryon Park focuses on medieval art?

The Met branch in Fort Tryon Park that focuses on medieval art is The Cloisters.

The Cloisters is the Metropolitan Museum of Art’s northern Manhattan branch, located on a four-acre site in Fort Tryon Park overlooking the Hudson River. It is devoted to the art and architecture of medieval Europe, especially works dating from roughly the twelfth through fifteenth centuries.

The building incorporates architectural elements from several European monasteries and cloisters, including Saint-Michel-de-Cuxa, Saint-Guilhem-le-Désert, and Trie-sur-Baïse. Its gardens were designed using evidence from medieval herbals, poetry, and horticultural writings, making the setting part of the museum experience.

The Cloisters opened to the public on May 14, 1938. Its collection includes illuminated manuscripts, sculpture, stained glass, ivories, metalwork, and the famous Unicorn Tapestries. It is sometimes mistaken for a separate museum, but it is a branch of the Met.