Arnett, 43, filed the papers in LA Superior Court on April 8, citing irreconcilable differences as the reason of the separation, reported People magazine.
According to the documents, the actor requested joint legal and physical custody of their two sons, aged 3 and 5, as well as visitation rights.
Arnett and Poehler decided to call it quits in 2012 after nine years of marriage. This will be the first divorce for the 'Parks and Recreation' star.
'The Millers' star was previously married to Penelope Ann Miller.