Tumbaya is a department of the province of Jujuy, in Argentine. Its chief town is the small town of Tumbaya. It is bordered by the departments of Capital, Tilcara and Susques.

• Its surface is of 3.442 km ².
• the department had 4.553 inhabitants in 2001.
• Its population density was of 1,3 hab/km ².
• Another city: Purmamarca