The Britain-based Syrian Observatory for Human Rights and the Raqqa-based collective called Raqqa is Being Slaughtered Silently reported the French made seven airstrikes on the city overnight.
Both activist groups said the airstrikes hit targets on the southern edge of Raqqa but had no immediate word on casualties.
In France, military spokesman Col. Gilles Jaron said the strikes early Tuesday destroyed a command post and training camp.
The second round of French airstrikes in 24 hours involved 10 Rafale and Mirage 2000 fighters, dropped 16 bombs, according to the ministry, which said the raid was “conducted in coordination with U.S. forces” and aimed at targets “identified during reconnaissance mission previously carried out by France,” according to Jaron.
They were the first strikes after Hollande vowed Monday to forge a united coalition capable of defeating the attackers at home and abroad.
"France is at war," Hollande declared to the French parliament on Monday evening. "We will defeat terrorism."
Addressing lawmakers after France observed a minute of silence honoring the 129 people killed and 350 wounded, Hollande said the victims came from at least 19 nations, and the international community, led by the United States and Russia, must overcome their deep-seated divisions over Syria to destroy ISIL on its home turf.
"Friday's acts of war were decided and planned in Syria. They were organized in Belgium and perpetrated on our soil with French complicity with one specific goal: to sow fear and to divide us," Hollande told Parliament in a rare joint session convened at the Palace of Versailles.
ISIL on Saturday claimed responsibility for Friday's assault, saying its fighters, armed with explosive vests and machine guns, carried out the attacks at locations that had been carefully studied beforehand. The attack was designed to show France that it would remain a top target for the group as long as it continues its current polices, the statement said.
Hollande said France wanted more effective controls of the external borders of the European Union (EU) to avoid a return to national border controls and the dismantling of the 28-nation EU.
Additional security spending would be needed and France would not let EU budget rules get in the way, Hollande said, adding that France will also increase police recruitment and halt planned cuts to the army.
Hollande also told parliament that on Thursday, France will send its nuclear aircraft carrier, the Charles de Gaulle, on its second deployment to the Middle East. The deployment, which was planned before the Paris attacks, “is going to triple our military power” against ISIL, Hollande said. “I am not talking about deterring the Islamic State but about eliminating it entirely.”
Hollande said he would meet U.S. President Barack Obama and Russian President Vladimir Putin in the coming days to urge them to pool their resources.
"We must combine our forces to achieve a result that is already too late in coming," the president said.
The U.S.-led coalition has been bombing Islamic State for more than a year. Russia joined the conflict in September, but Western officials say it has mainly hit foreign-backed fighters battling Syrian President Bashar al-Assad, not ISIL.
Parliamentarians had given Hollande a standing ovation before spontaneously singing the "Marseillaise" national anthem in a show of political unity.