Turkey's Prime Minister Binali Yildirim told reporters that air traffic returned to normal and "Our airport has been opened to flights and departures from 02:20 (local time) on," in a press statement at the airport early Wednesday morning.
Turkish Airline's website says "flight operations have been restarted" and instructs passengers to monitor actual flight information.
Gunshots, screams and explosions pierced the air Tuesday as three terrorists armed with bombs and guns killed at least 36 people at Istanbul Ataturk Airport in Turkey.
Witnesses described deadly carnage and crowds in a panic as the attackers struck one of the world's busiest airports.
At least 36 people were killed, Turkish Prime Minister Binali Yildirim said. An additional 147 people were wounded, Turkey's Justice Minister Bekir Bozdag said.
There was no immediate claim of responsibility.
Sue Savage was in the airport to see a friend off when she heard gunshots and then an explosion. More gunshots rang out, followed by another boom, she told "Erin Burnett OutFront."
She ducked into a men's prayer room and then into a men's toilet, where she hid in a stall with a young woman.
They came out about 30 minutes later, and heard more screams and gunshots. They ducked into a room where luggage is inspected.
She and about 30 people were herded into a women's prayer room until authorities led them out and down an escalator into the main terminal hall.
"There was a lot of blood," she said. The floor was marked with bloody boot marks as the group was led to the other side of the room.
"There was so much glass on the floor they were scuffing it aside so we didn't slip," she said.
Video from inside the terminal shows people fleeing and the bright orange flash of fire from one of the explosions. Victims stagger and some fall from the blood-covered, slick floor.
Another video shows a man walking with a gun, which he drops when he's apparently shot by a security officer. The man slumps to the ground and the officer briefly stands over him before running. About 10 seconds later, there is an explosion.
Traveler Laurence Cameron described what he saw after he stepped off a plane.
"It was just a massive crowd of screaming people. Some were falling over themselves. A poor chap in a wheelchair was just left, and everyone just rushed to the back of the building, and then people ran the other way and no one really seemed to know what was going on," he told CNN. "Where you normally hail a taxi, that is where the attack happened. The ground is just kind of shredded. There are bloodstains on the floor as well."
Two bombs in international terminal, official says
Of the three bombers in the airport attack, two were at the international terminal, and the third terrorist was in the nearby parking lot, a Turkish official told CNN. All three detonated suicide vests.
Turkish President Recep Tayyip Erdogan called for a unified international fight against terrorism.
"Make no mistake: For terrorist organizations, there is no difference between Istanbul and London, Ankara and Berlin, Izmir and Chicago or Antalya and Rome," he said. "Unless all governments and the entire mankind join forces in the fight against terrorism, much worse things than what we fear to imagine today will come true."
The attacks happened on a warm summer night at the airport, east of Istanbul, which is the 11th busiest in the world in terms of passenger traffic.
The airport was closed overnight for several hours, and flights into the airport had been diverted to the capital of Ankara and other cities.
The airport has since reopened, and the U.S. Federal Aviation Administration said it has lifted a ground stop for flights between the United States and the airport.
Prime Minister Yildirim told reporters that the airport was opened for incoming and outgoing flights early Wednesday, according to the semiofficial Anadolu news agency.
Turkish PM: Attack likely from ISIS
"The terrorists came to the airport in a taxi and then carried out their attacks," the Prime Minister said. "The fact that they were carrying guns added to the toll. Preliminary findings suggest all three attackers first opened fire then detonated themselves."
Yildirim didn't clarify why, but said signs pointed to ISIS being behind the attacks. The attacks occurred with a little more than a week left in the Muslim holy month of Ramadan.
Multiple U.S. officials told CNN's Pamela Brown and Elise Labott that the early thinking among U.S. intelligence officials was that ISIS or an ISIS-inspired group was to blame. Like the Turkish Prime Minister, the officials said there is much more investigating to be done.
One official said the attack bears the hallmarks of ISIS because of the target and the method. And a senior US official pointed to the way it was coordinated using weapons and explosions.
Some analysts say that this type of attack is a response to ISIS recent defeats in Iraq and Syria, notably the loss of Falluja.
"They may lose ground, but they're still a potent force," CNN analyst Bob Baer said.
"They know their days in Iraq and Syria are probably numbered, they've got to find somewhere else to operate," said retired Lt. Col. Rick Francona, a former U.S. military attaché in Syria.
It would be a "big surprise" if it was the PKK -- or Kurdistan Workers' Party --- based on how the attack was conducted. The PKK tends to target military and security installations, other officials said.
Terror attacks in Turkey
Turkey has been rocked by a string of terror attacks over the past year as it weathers bombing campaigns by ISIS and Kurdish militants.
As part of the U.S.-led coalition against ISIS, Turkey allows coalition planes to fly raids on ISIS targets in neighboring Iraq and Syria from its territory.
And last year, Turkey resumed hostilities with the PKK, Kurdish militant separatists, after a two-year cease fire broke down.
The PKK has been in an armed struggle with the Turkish government for decades and is considered a terror group by Turkey, the United States and the European Union.
In March, at least 37 were killed when a car bomb detonated near a bus stop in the Turkish capital, Ankara, in an attack claimed by a Kurdish militant group.
Six days later, an ISIS suicide bomber detonated himself on one of Istanbul's main streets, killing four.
A month earlier, 28 were killed in a blast targeting military vehicles in central Ankara. A Kurdish group claimed responsibility.
And in January, at least 10 German tourists died in a suicide bombing in Istanbul's Sultanahmet Square that Turkish authorities linked to ISIS.
The violence has had an impact on Turkey's tourism industry, a key sector of the national economy.