Lessig says he's running to address campaign finance reform, voting rights issues and "political gerrymandering."
Should he achieve his agenda as president, the 54-year-old South Dakota native promises to resign and let his vice president take over.
He declined to name potential vice presidential picks when asked during the interview.
Lessig previously said he would resign his position at Harvard and focus on the nomination race if he raised at least $1 million by Labor Day and didn't believe the other candidates were sufficiently focused on "returning political power to citizens."
See photos of all of the candidates who are officially running in 2016:
All officially announced 2016 Presidential candidates
Law professor: I've hit $1M mark to trigger presidential run
Business mogul Donald Trump (R)
(AP Photo/Charles Rex Arbogast)
Senator Bernie Sanders of Vermont (D)
(Photo by Win McNamee/Getty Images)
Neurosurgeon Ben Carson of Maryland (R)
Former Florida Governor Jeb Bush (R)
(AP Photo/Phelan M. Ebenhack)
Senator Rand Paul of Kentucky (R)
(AP Photo/Carolyn Kaster)
Senator Marco Rubio of Florida (R)
(AP Photo/Wilfredo Lee)
Former Secretary of State Hillary Clinton of New York (D)
(Photo by Ethan Miller/Getty Images)
Former Senator Rick Santorum of Pennsylvania (R)
(AP Photo/Keith Srakocic)
Former Arkansas Governor Mike Huckabee (R)
(Photo by Matt Sullivan/Getty Images)
Former CEO, Businesswoman Carly Fiorina of California (R)