Portuguese term (edited): borbolet�rio

In case it's more than just a breeding facility.

Merit Plaza Hotel -
... do Brasil e de várias partes do mundo, além do primeiro borboletário público da ... parts
of the world, as well as South America's first butterfly sanctuary. ...
www.meritplaza.com.br/roteiros/ roteiros_detalhes.asp?id=1&offset=1 - 13k

Kuranda is a small village nestled in the rainforest in tropical north Queensland, 27 km from Cairns. As the butterflies are all rainforest species, the aviary is designed to re-create their natural habitat, complete with a running stream and the correct food plants on which the female can deposit their eggs. These eggs are collected regularly by staff, and taken to an especially designed laboratory where the caterpillars are raised until they pupate and eventually emerge as fully formed butterflies - ready to be released back into the aviary. This intensive handling over many generations has resulted in the sanctuary's butterflies being far more relaxed around people, hence their propensity to land.

http://www.australianbutterflies.com/

Portuguese term (edited): borbolet�rio

...laboratories, specialized facilities within the department include the Clemson University Arthropod Collection; laboratories for molecular genetics, tissue culture and analytical chemistry/toxicology; wet laboratories; controlled and ambient temperature insect-rearing facilities; a free-flight butterfly facility; and greenhouses.

Semelhante a "biotério" (= animal facility)

Borboletário é vocábulo recente em português, apareceu primeiro no Brasil, mais recentemente em Portugal. Spanish: "Mariposario".
In English the most accurate translation is: "BUTTERFLY HOUSE".
see here under a sample from Missouri Botanical Gardens:
http://www.butterflyhouse.org/
"Hatchery" refers to the place in a butterfly nursery where butterflies emerge (hatch) from pupae proper. The butterfly house is a greenhouse filed with butterfly and caterpillar food-plants, usually there is an annex facility where eggs and larvae are taken in to perform separate inside rearing.