• Sridhar Natarajan, 40, an Indian national and employee of a local pharmaceutical firm, and 8-year-old Paramshu Jain, the son of a bank branch manager, CNN sister network CNN-IBN reported, citing government officials in New Delhi.
Kenyatta said more than 175 people had been wounded. Five were Americans, the State Department said Sunday.
Elaine Dang, 26, a University of California, Berkeley, graduate from San Diego, underwent surgery to her chest, arms and legs.
"I'm OK, I'm very grateful to be alive," she told CNN affiliate KFMB-TV
She said two friends died in the attack.
The Somalia-based Al-Shabaab terror group had said on Twitter that it had sent the gunmen to the mall in retaliation for Kenya's involvement in an African Union military effort against the group, which is al Qaeda's proxy in Somalia.
Last year, the Kenyan military was part of a peacekeeping force that defeated Al-Shabaab forces to liberate the key Somali port of Kismayo.
Since Kenya launched attacks against Al-Shabaab in Somalia in 2011, the group has hurled grenades at Kenyan churches, bus stops and other public places.
The mall attack is the deadliest terror attack in Kenya since al Qaeda blew up the U.S. Embassy there in 1998, killing 213 people.
On Monday, Kenya's foreign minister told CNN it's clear that Al-Shabaab was not acting alone.
"This bares the hallmarks of al Qaeda. This is not just Al-Shabaab. In fact, the leaders are not Somali, as you may have heard. This was al Qaeda. It was a very well-coordinated effort, it was very well planned," Mohamed said.
But the attackers' national origins are irrelevant, she said.
"It doesn't matter where they come from. There are some Americans. There are some Brits. There are some others. It has nothing to do with the nationality of people," Mohamed said. "They are all evil and we must deal with them as such."
Lenku said that Monday's effort to roust the terrorists was a Kenyan operation, but government sources told CNN that Israeli special forces also were at the scene.
Kenyatta, the Kenyan president, vowed Sunday to punish those responsible for the attacks.
"They shall not get away with their despicable, beastly acts. Like the cowardly perpetrators now cornered in the building, we will punish the masterminds swiftly and indeed very painfully," he said.
U.S. Secretary of State John Kerry promised an American investigation.