District head Malaza Ramanamahafahy named the Frenchman as Sebastien Judalet and said he had a 60 day tourist visa issued on September 15 and his passport indicated he was a frequent visitor to Madagascar.
Ramanamahafahy added the Franco Italian, whom he named as Roberto Gianfala, had an expired Madagascan visa.
French foreign ministry spokesman Philippe Lalliot confirmed the two deaths and said officials were “in contact with the families”.
He said an inquiry had been opened with Malagasy authorities.
With some vigilantes still on the hunt for a rumoured fourth suspect, a team of top Madagascar government ministers jetted in to the holiday spot to calm the situation.
French and Italian authorities have urged their nationals on Nosy Be to remain vigilant and to stay indoors at night.
About 700 French people live on the island of 40,000 residents, with 100 French tourists visiting.
On Friday tourists were walking on the same beach and swimming in the turquoise waters near where the two Europeans’ bodies were burned.
Mob justice is common on the vast island nation off the southeastern African coast, which authorities struggle to police effectively.
Prime Minister Omer Beriziky Friday condemned the attack “with force and vigour”.
“Popular justice is never a solution in a state of law,” he said in a statement.
A meeting will be held Saturday with local “moral authorities” and members of the government, the ministry of communication said.
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