It's been almost a month since the company carried out test flights for the fix to its grounded airliner, and now it will be assessed by the Federal Aviation Administration.
The MCAS flight control system has been blamed for two crashes in Indonesia and Ethiopia which killed 346 people, and Boeing will now schedule a certification flight with FAA crews to analyse the update.
The company's chairman, president and chief executive officer Dennis Muilenburg said "We're committed to providing the FAA and global regulators all the information they need, and to getting it right.
"We're making clear and steady progress and are confident that the 737 MAX with updated MCAS software will be one of the safest airplanes ever to fly."
There is currently no timeline confirmed 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.
Meanwhile, the FAA's acting administrator Daniel Elwell has defended the agency over its initial approval of the 737 Max, which was met with criticism.