Cuban Foreign Minister Bruno Rodriguez reported the attack on Twitter Monday evening before the country’s Foreign Ministry’s International Press Center later declared that the incident occurred around midnight.
Officials said three Molotov cocktails were thrown, two of which hit the embassy and set it on fire.
Cuban diplomats put out the blaze when French firefighters and police arrived at the scene, he added.
The Paris prosecutor’s office indicated that an investigation was underway for “damage caused by an explosive substance or an incendiary device”.
No one has been arrested or claimed, police said.
In his tweet, Rodriguez blamed the attack on Washington.
“I hold the US government responsible for its relentless campaigns against our country that encourage such behavior and calls for violence, with impunity, from its territory,” he said.
Over the past three weeks, Cuban embassies in many cities around the world have witnessed protests for and against the Cuban government in response to protests that erupted across the island on July 11 and 12.
The protests left at least one dead, wounded dozens and led to hundreds of arrests.
Cuba has accused the US government of instigating a social media campaign aimed at destabilizing the Caribbean nation, which is going through a severe economic crisis exacerbated by the coronavirus pandemic and US sanctions.