The Paris Prosecutor Remy Heitz, also at the scene, said a 40-year-old female suspect who lived in the building and who was arrested on the street as the flames blazed was known to have had psychological problems.
Seven people died and another was seriously injured in a building fire in a wealthy Paris neighbourhood on Monday night, the fire service said.
A woman has been detained as part of an inquiry into the fire, with Paris prosecutor saying investigators are now looking at a "criminal reason" behind the massive blaze, according to Reuters.
A fire gutted an apartment building in Paris early Tuesday, killing at least 10 people and injuring dozens. "Lots of people were calling for help from the windows", the spokesman told the BBC.
Neighboring buildings were also evacuated.
Christophe Castaner, the interior minister, said the fire began on the second floor of the building.
The 16th arrondissement is one of the calmest and most high-end and districts of Paris.
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The government is fighting for its survival with opinion polls suggesting an election victory for the centre-left Labour party. NAB's shareholders delivered the biggest ever "no" vote on the bank's remuneration at the annual meeting last past year .
Paris left-wing mayor Anne Hidalgo reacted to the tragedy on Twitter saying, "Paris is in mourning this morning", and promising a minute of silence for the victims during the opening of the Paris council meeting on Tuesday.
Several local residents said the fire started after a dispute between neighbours in the block, which was built in the 1970s, unlike numerous older, classic Parisian buildings nearby.
Roads around the building remain sealed off.
Firefighters scaled ladders to rescue residents from balconies on the eight-storey block on Rue Erlanger, near the Parc des Princes soccer stadium and the Roland Garros French Open tennis venue. I offer them my honest condolences.
The fire comes a month after another deadly blaze in the French capital, which was believed to be caused by a gas leak in a bakery. "They're not picking up and I don't have any news".
"The situation was already dramatic when the firefighters arrived", said the city's fire service spokesman, Clement Cognon.