The old colonial town hall directly across Plaza San Martín from the cathedral is one of the oldest surviving cabildos in South America. The two-storey arcaded facade dates mostly from a late-18th-century rebuilding, but parts of the structure go back to the 1580s.
Inside is now the City Historical Museum, with rooms covering Córdoba's founding, the Jesuit period, independence, and the 19th century. The basement preserves a section of the colonial water cistern and the old jail cells. Patio concerts and tango shows fill the courtyard most evenings.