Photo: Thomas Ledl, CC BY-SA 4.0 via Wikimedia Commons
Historical museum pertaining to the state of Tabasco and Mexico. Pretty small.
The Casa de los Azulejos or Palacio de los Condes del Valle de Orizaba is an 18th-century Baroque palace in Mexico City, built by the Count of the Valle de Orizaba family. The building is distinguished by its facade, which is covered on three sides by blue and white colonial Talavera tiles from Puebla state. The palace remained in private hands until near the end of the 19th century. It changed hands several times before being bought by the Sanborns brothers who expanded their soda fountain/drugstore business into one of the best-recognized restaurant chains in Mexico. The house today serves as their flagship restaurant.
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House museum about a local poet.
Museum about indigenous people.
Catedral de Villahermosa
The iconic church of Villahermosa. Sits on site of original 1776 church, though present structure was constructed between 1945 and 1970.
Exhibits, mostly from La Venta mentioned above, and a codice (i.e. ancient text).
The park is located at the corner of Paseo Tabasco and Av. Ruiz Cortines. The La Venta Museum is in this park. It's a very watery place with a lagoon framed by walkways and Aztec-like architectural forms like the observation platform Mirador de las Aguilas, other statuary, an orchid house, and wildlife-friends like coatimundi.
Parque-Museo La Venta
The museum, situated in a park, is one of the biggest tourist attractions in Villahermosa. La Venta is a swamp area north of the city. Scientists found pieces of the culture whilst drilling for oil. A lot of exhibits connected to the Olmec culture can be seen there. For example one of four really big stone heads. They also have some animals in the park, and a natural history museum. Make sure you wear long clothes and use a mosquito repellent.