Besides Obama, leaders of Britain, Spain and India were among those who voiced their condemnation.
"It's an attack not just on the people of France. But this is an attack on all of humanity and the universal values we share," Obama said in an address at the White House.
"We're going to do whatever it takes to work with the French people and with nations around the world to bring these terrorists to justice and to go after any terrorist networks that go after our people."
In London, where 52 people were killed and hundreds wounded in a series of coordinated suicide bombings in 2005, British Prime Minister David Cameron said: "We will do whatever we can to help."
Jose Manuel Garcia Margallo, the foreign minister of Spain, where 191 people were killed in train bombings in 2004, raised the specter of a jihadist attack.
"All of this confirms that we are facing an unprecedented challenge, a hugely cruel challenge," he told public television TVE.
Indian Prime Minister Narendra Modi, whose country was hit by two major attacks in 2006 and 2008 that saw a total of 355 people killed, said on Twitter the "news from Paris is anguishing & dreadful".
France's Jewish community was among the targets of the last attacks Paris in January and Israeli Prime Minister Benjamin Netanyahu added his voice to the condemnation.
"Israel stands shoulder to shoulder with French President Francois Hollande and with the people of France in our common battle against terrorism," he said.
President Recep Tayyip Erdogan of Turkey, where twin bombings on a peace rally in Ankara last month killed 102 people, offered his condolences.
"As a country that knows very well the manner and consequences of terrorism, we understand perfectly the suffering that France is experiencing now," he said.
Iranian President Hassan Rouhani branded the attacks "crimes against humanity" as Tehran announced he would postpone a scheduled trip to Paris.
European Union foreign policy chief Federica Mogherini tweeted that she was "in the process of following with pain and dread the events in Paris".
"Europe is with France and the French people," she said.
Angela Merkel, the chancellor of neighboring Germany, said she was "profoundly shocked by the news and images from Paris", while Dutch Foreign Minister Bert Koenders tweeted: "Shocked and appalled by new attacks in #Paris. Words are not enough."
And in Australia, where a lone gunman reportedly shouting Islamist slogans killed a man outside police headquarters in Sydney last month, Foreign Minister Julie Bishop said
"this is indeed a black Friday for France and for the world".
Australian Prime Minister Malcolm Turnbull praised the French people for their response, describing France as "the home of freedom".
Foreign Minister of Singapore Vivian Balakrishnan said "this is a terrible assault on a beautiful city with warm, cheerful, hospitable people".
Chinese President Xi Jinping spoke of "these tragic times for the French people" as he condemned "in the strongest ways this barbarous act."
Chinese foreign ministry spokesman Hong Lei added that Beijing was "profoundly shocked", saying "terrorism is a common challenge, which the whole (of) humanity is facing".
Afghan chief executive Abdullah Abdullah tweeted that "these brutal, barbaric & coward attacks show that terrorists have no religion... Global efforts must eliminate terrorism."
Prime Minister Nawaz Sharif of Pakistan, for his part, condemned "this act of terror... this brutal carnage" while Japan's foreign minister Fumio Kishida said he was "shocked and angry".
In New York, One World Trade Center, the skyscraper built on the site of the September 11 attacks of 2001, was illuminated in blue, white and red in tribute to the French flag.