Souza joined Early Show co-anchor Julie Chen from the White House with some never-before-seen photos.
In one of his photos, Souza caught an intimate moment of the president with his family in his private study.
"I think Mrs. Obama and the girls had come over to surprise the president," Souza said. "This was early in the administration. I think the first week of February. And he was working in his private study, and so they walked in to the study and surprised him."
Souza said he is usually "hanging around the Oval office," snapping photos. At the time, he was outside the Oval office when he saw Mrs. Obama and their two children, Malia and Sasha, coming so he just followed them in.
Another great photograph taken by Souza shows Mr. Obama embracing the first lady in the Red Room. He has a big smile on his face, as others are looking on.
"That was before an event, in the White House State floor, and Mrs. Obama had already arrived," Souza said. "So when he showed up, he just gave her a hug, put his arms around her. I think you see a lot in their relationship in this photograph."
Souza also captured Caroline Kennedy in the Oval office with Mr. Obama.
"The president had this meeting with Caroline, and when she walked in to the Oval Office, they started talking about the desk," he said. "And I think the president in the back of his mind remembered that famous photo of John Kennedy, crawling out from underneath the desk. There was a trap door there, and the door is now locked and the president was looking to see if there was a way to open that door."
Souza says he tries to be "discreet" when clicking away and that Mr. Obama is now used to him being around.
"You know, he's kind of oblivious to my presence," he said.
Souza has also captured the president deep in thought.
"He's been holding a lot of economic meetings in the Roosevelt Room," he explained. "This is actually in the Roosevelt Room, not the Cabinet Room, which is right across from the Oval Office. So you see a range of emotions during those meetings. And I'm trying to capture that."
Souza was also the official White House photographer during the Reagan administration.
"It's a completely different time," Souza admitted. "President Reagan was almost 50 years older than me when I was a junior White House photographer back in the '80s. I like to tell people I was 12 at the time. Now I'm photographing the president that I'm a little bit older than. He's got a young family. It's just completely different."