Dennis Muilenburg has claimed the jet - which was grounded while the company finds a fix after two fatal crashes - is safe for flight.
Asked whether he is confident enough to put his own loved ones on one of the planes, he told CBS News: "Without any hesitation. Absolutely."
The MCAS flight control system has been blamed for two crashes in Indonesia and Ethiopia which killed 346 people.
Dennis acknowledged the "loss of lives" and apologised to everyone affected.
He added: "We are sorry for the loss of lives in both accidents and that will never change. That will always be with us.
"I can tell you it affects me directly as a leader of this company. It's very difficult."
It was recently revealed the Federal Aviation Administration won't give a timeline on the Boeing 737 Max returning to the air.
The organisation's acting chief Daniel Elwell confirmed the organisation's technical experts will conduct a full and thorough review with "no stone unturned" as they assess Boeing's proposed solutions.
He recently said: "If it takes a year to find everything we need to give us the confidence to lift the order, then so be it.
"If there is a crisis in confidence, we hope this will help to show the world that the world still talks together about aviation safety issues."
There remains no timeline for the 737 Max being able to carry passengers again, but a report from the Wall Street Journal has suggested the plane won't be back the skies until at least mid-August.