The papers reportedly show that West, 43, requests joint legal and physical custody of his children - daughters North, 7, and Chicago, 3, and sons Saint, 5, and Psalm, who is almost 2.
West does not request spousal support.
West’s counsel lists ‘irreconcilable differences’ as the couple’s reason for a split with no date of separation given, PEOPLE reports.
Reports suggest neither of the couple are contesting the pre-nuptial agreement they signed before they got married.
Previously it was reported that Kardashian West cited “irreconcilable differences” as the reason for the divorce.
The businesswoman has enlisted the services of lawyer Laura Wasser, who earned the title “disso queen” thanks to her work sorting out the divorces of high-profile celebrities.
They began dating in 2012 – while Kardashian West was still legally married to professional basketball player Kris Humphries – and tied the knot at a lavish ceremony in Florence, Italy, in May 2014.
They welcomed the birth of their daughter North West in June 2013, before going on to have three more children.
The marriage was rarely far from the headlines.
Speculation over the marriage increased last year when West announced he was running for president, a decision that brought a mix of bewilderment and scorn.
During an early campaign event, West delivered a rambling speech and told a crowd in North Charleston, South Carolina, he and Kardashian considered aborting their first child. In a tirade on Twitter, West claimed his wife had tried to get him locked up by doctors and revealed he had previously sought a divorce.
He later issued a public apology to Kardashian West. She publicly defended him and spoke about his battle with bipolar disorder, saying he is a “brilliant but complicated person” whose “words sometimes do not align with his intentions”.
Rumours over the marriage reached fever pitch in January, with multiple US outlets suggesting divorce was imminent.
It was claimed West had been living at his ranch in Wyoming while Kardashian West had been with the children in California.
More details about the split could be revealed in the upcoming – and final – series of Keeping Up With The Kardashians, the reality TV show which catapulted the family to global stardom.
Series 20 of the show is due to air in the US next month.
Forbes magazine recently reported Kardashian West was now officially a billionaire.
The reality TV star joined the likes of Elon Musk and Jeff Bezos thanks largely to her clothing company Skims and her cosmetics brand KKW Beauty, Forbes said.
Her estranged husband is also on the list.
The magazine values Kardashian West’s net worth at one billion dollars (£723 million), up from 780 million dollars (£506 million) in October.