Munoz and the airline were slammed with heavy criticism after a passenger was violently dragged off a United flight earlier this month in an incident that sparked global outrage.
Under the previous plan, Munoz had been slated to assume the chairman's role in 2018. But the company amended its contract with Munoz to remove that provision.
"The Board believes that separating the roles of chief executive officer and chairman of the board is the most appropriate structure at this time," the company said in a securities filing.
United described its shift on compensation to take into account customer satisfaction as part of "a response to recent events," according to the document.
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Executive compensation will now depend on "progress in 2017 on significant improvement in the customer experience at United, and aligned changes to United's culture and processes," the filing said.
United has been under fire since video went viral showing security personnel dragging battered and bloodied passenger David Dao off a flight from Chicago to Louisville, Kentucky, to make room for an airline employee.
The airline already has announced some policy changes, such as no longer having law enforcement remove customers from overbooked flights.
Munoz was paid USD 18.7 million in 2016, more than three times the USD 5.8 million in 2015, the filing showed.