Former GE CEO Jeff Immelt, whose name was on the shortlist, on Sunday removed himself from the running for the top job.
"I have decided not to pursue a leadership position at Uber," Mr Immelt said on Twitter, without explaining his reasons. "I have immense respect for the company & founders."
The Wall Street Journal reported that Mr Immelt had opted not to pursue the CEO post after "observing disorder and divisions among different factions of Uber's board," according to an unnamed source familiar with the matter.
Other sources close to the search process said the 61-year-old Mr Immelt - who left General Electric on August 1 after 16 years at the helm - did not have the votes to win and thus "saved face" by publicly bowing out, the newspaper said.
Uber has been without a boss since June when Mr Kalanick resigned, yielding to pressure from investors seeking to clean up a toxic corporate culture at the fast-growing company he created in 2009.
The San Francisco-based firm has been roiled by disturbing reports of a cutthroat workplace culture, harassment, discrimination and questionable business tactics to thwart rivals.
The pressure mounted earlier this month when early Uber investor Benchmark Capital filed suit against Mr Kalanick, accusing him of fraud, breach of contract and of plotting to manipulate the board of directors to allow him to return as CEO.
Mr Kalanick fired back, claiming that Benchmark "began secretly planning an effort to oust him" and "executed its plan at the most shameful of times" following the death of his mother in a May accident.
Uber has not only disrupted the local transport industry in dozens of countries. It's also been investing in autonomous driving technology, and has provoked a lawsuit from the former Google car unit now called Waymo that accused Uber of stealing trade secrets.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)