The attackers killed at least seven foreign tourists and a Tunisian national at the Bardo National Museum in central Tunis during Wednesday's assault.
The spokesperson also said that hostages were freed.
Poland's Foreign Ministry announced that three Poles were among the wounded in the incident.
Wednesday's attack was the first on a tourist site in years in Tunisia, a shaky democracy that has struggled to keep violence at bay since the Jasmine Revolution of 2011.
The attack is a blow to Tunisia's efforts to revive its tourism industry. The Bardo National Museum, built within a 15th-century palace, is the largest museum in Tunisia with collections covering two floors, and it houses one of the world's largest collections of Roman mosaics.
It was not immediately clear who the attackers were.

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