The condition of the two victims was not immediately known.
BFM TV said the hostage-taker has claimed allegiance to Islamic State.
Mayor Eric Ménassi told BFM TV that the hostage taker was now alone with one police officer in the supermarket and all other hostages had been freed.
A source at the Paris prosecutor’s office said counter-terrorism prosecutors were investigating the hostage-taking.
The local prefecture confirmed the hostage-taking at the Super U supermarket but did not confirm the Islamic State allegiance.
The UNSA police union also said on Twitter a police operation was underway after an individual had earlier shot at four officers in the Carcassone region injuring one of them.
Prime Minister Edouard Philippe described the situation, which investigators are treating as terrorism, as “very serious” and Interior Minister Gerard Collomb is heading to the site, his ministry said.
More to follow.
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