During an appearance on CBS' "The Early Show" Thursday, Todd said that after Munley was shot, he "drew [the gunman's] attention towards me and then he opened fire and then I neutralized him and secured him."
The statement appears to confirm an eyewitness account in the New York Times that credits Todd with bringing down Hasan, but Todd was careful to use the term "we" in other references to the incident during his interview with "Early Show" co-host Harry Smith.
On Wednesday, Munley appeared on "The Oprah Winfrey Show" alongside Todd and described the scene asbut she remembers getting shot.
Munley said it felt like "a muscle being torn out of my leg."
The 34-year-old Munley is out of the hospital after undergoing two surgeries. The 42-year-old Todd was not wounded.
Todd, a military veteran, said the Fort Hood shooting was the first time in his career that he used his weapon and credits his training with preparing him for the situation.
"Training is everything," he told Smith. "In a situation like this you don't have to think, you just react."
Munley said it will be a slow process to get back to her normal life, but she knows she can do it.
More Coverage of the Tragedy at Fort Hood:
No Military Executions since 1961
Army Doctors Had Doubts over Hasan
Exclusive: Inside Hasan's Apartment
Fort Hood Hero Recalls "Chaotic" Scene
The Government Blame Game
Ft. Hood Shooting: Composure Under Fire
Radical Imam's Web Site Praises Hasan
List of Fort Hood Dead, Wounded