According to TMZ, the British rocker – whose real name is Saul Hudson – filed papers Tuesday seeking to end his marriage to Perla Hudson.
The couple have two sons together, ages 12 and 10, and the musician is said to be seeking joint custody.
The split reportedly comes after an ultimatum set by his wife, who flew to Hawaii with their children amid the couple's relationship struggles.
Speaking to PEOPLE in 2009, Slash credited his wife with helping to keep him on the right track, acknowledging that after settling down and having kids, he got "rid of all the real hardcore stuff that I used to live on."
This isn't the first sign of marital rancor between the two: The 49-year-old rocker – who formed the band Velvet Revolver and last released a solo album, his second, in 2012 – filed for divorce from Perla, 39, in 2010, only to call it off two months later. They wed in 2001.
He previously had been married to actress Renée Suran, and their five-year marriage ended in 1997.
