"We denounce the Molotov cocktail terrorist attack against our Embassy in Paris @EmbaCubaFrancia," Cuban foreign minister Bruno Rodriguez said on Twitter.
"I hold the US government responsible for its continued campaigns against our country that encourage this behaviour and for its calls for violence, with impunity, from its territory," he tweeted.
Fire officials said they were alerted to the attack after midnight and "the devices, which caused minor damage, were extinguished before fire fighters arrived."
Police did not immediately provide any more information.
Three Molotov cocktails -- two of which reached the embassy's facade and another that made it into the building -- struck the building at 11:45 and started a fire that was quickly put out by the mission's employees, according to the Cuban foreign ministry.
Demonstrators marching in favour of and against the Cuban government took to the streets in cities all over the world this weekend and on Monday, coinciding with 26 July national day commemorations and just two weeks after anti-government protests erupted throughout the island nation.
Around two dozen countries, including Brazil, Colombia, and Ecuador, on Monday joined US secretary of state Antony Blinken in calling on the Cuban government "to respect the legally guaranteed rights and freedoms of the Cuban people" and to "release those detained for exercising their rights to peaceful protests."
The "statements of the US secretary of state are based on the support of a handful of countries that have been pressured to accept his decrees," Cuban foreign minister Rodriguez said in a separate tweet.
"#Cuba counts the support of 184 nations that all call to #EndTheEmbargo," Rodriguez said, referring to the United States government's longstanding sanctions that have been in place since 1962.