Kuala Lumpur - Obama also pressed Russian President Vladimir Putin to align himself with the US-led coalition.
President Barack Obama vowed on Sunday that the United States and its international partners "will not relent" in the fight against the Daesh, insisting the world would not accept the extremists' attacks on civilians in Paris and elsewhere as the "new normal."
Wrapping up a nine-day trip to Turkey and Asia, Obama also pressed Russian President Vladimir Putin to align himself with the US-led coalition, noting that the Daesh has been accused of bringing down a Russian passenger jet last month, killing 224 people.
"He needs to go after the people who killed Russia's citizens," Obama said of Putin.
The president spoke in Malaysia shortly before departing for Washington. His trip also took him to the Philippines and Turkey, where he met with Putin on the sidelines of an international summit.
While Russia has stepped up its air campaign in Syria, Obama said Moscow has focused its attention on moderate rebels fighting Syrian President Bashar Assad, a Russian ally. He called on Russia to make a "strategic adjustment" and drop its support for Assad, insisting the violence in Syria cannot be stopped as long as Assad is in office.
"It will not work to keep him in power," Obama said. "We can't stop the fighting."
Nearly five years of fighting between the Assad government and rebels has created a vacuum that allowed the Daesh to thrive in both Syria and Iraq. The militant group is now setting its sights on targets outside its stronghold, including the attacks in Paris that killed 130 people and wounded hundreds more.
French President Francois Hollande is due to meet with Obama at the White House on Tuesday to discuss ways to bolster the international coalition fighting the Daesh. Hollande then heads to Russia for talks with Putin.
The discussions about a military coalition to defeat the Daesh come amid parallel talks about a diplomatic solution to end Syria's civil war. The violence has killed more than 250,000 people and displaced millions, sparking a refugee crisis in Europe.
Foreign ministers from about 20 nations agreed last week to an ambitious yet incomplete plan that sets a Jan. 1 deadline for the start of negotiations between Assad's government and opposition groups. Within six months, the negotiations are to establish a "credible, inclusive and non-sectarian" transitional government that would set a schedule for drafting a new constitution and holding a free and fair UN-supervised election within 18 months.
The Paris attacks have heightened fears of terrorism in the West and also sparked a debate in the US about accepting refugees from Syria. It's unclear whether any of the terrorists in the Paris attacks exploited the refugee system to enter Europe, though Obama has insisted that's not a legitimate security threat in the United States.
"Refugees who end up in the United States are the most vetted, scrutinised, thoroughly investigated individuals that ever arrive on American shores," Obama said.
Still, the House passed legislation last week essentially blocking Syrian and Iraqi refugees from the US Democrats in large numbers abandoned the president, with 47 voting for the legislation. Having secured a veto-proof majority in the House, supporters are now hoping for a repeat in the Senate, while Obama works to shift the conversation to milder visa waiver changes that wouldn't affect Syrian refugees.
Obama has focused his ire on Republicans throughout the trip, harshly criticising GOP lawmakers and presidential candidates for acting contrary to American values. He took a softer tone Sunday, saying he understands Americans' concerns but urging them not to give into fear.
He said the Islamic State "can't beat us on the battlefield so they try to terrorize us into being afraid."
Speaking dismissively of the Daesh's global prowess, Obama said, "They're a bunch of killers with good social media."