The couple tied the knot in 2014, and share children North, Saint, Chicago and Psalm together.
It has been widely speculated that they called time on their relationship at the beginning of this month.
An insider has now told TMZ that the Keeping Up With The Kardashians star has filed documents, but proceedings are ‘amicable’ between the pair.
The publication states the mum-of-four is asking for joint legal and physical custody of their brood, with a source explaining that the Golddigger rapper is ‘fine’ with this arrangement.
They are also said to be ‘committed’ to co-parenting their little ones together.
Kim’s lawyer, Laura Wasser, has allegedly filed the papers, which are said to state that neither party is contesting their existing pre-nup – and they are already ‘far along’ in reaching a property settlement agreement.
There has been intense speculation over Kimye’s romance over the last few months – but neither have publicly discussed the status of their relationship.
‘It’s got to the point where they haven’t spent time together as a married couple in months,’ an insider told E! News recently.
‘They’ve seen each other for the sake of the kids but have been living separately. Kim knows the marriage is over. She’s known for a while.’
Metro.co.uk has contacted reps for Kim and Kanye for a comment.