The couple first announced their intention to end their marriage last July, having been together for seven years.
Anthony filed papers at LA County Superior Court on April 9 citing "irreconcilable differences", TMZ reports.
The salsa performer, who did not disclose the exact date of his split with the American Idol judge, is asking for joint legal and physical custody of the pair's 4-year-old twins Emme and Max.
He has also requested that the judge dismiss any potential claim for spousal support from Lopez.
Lopez and Anthony worked together after their separation on Fox reality series Q'Viva! The Chosen, and will even perform with one another on stage for the show's live concert on May 26.
The 'Dance Again' singer was previously married to Ojani Noa for 11 months between 1997 and 1998, before tying the knot with backing dancer Cris Judd in September 2001. Their relationship ended in June 2002 and the pair were officially divorced the following January.
Lopez is currently dating another backing dancer, Casper Smart. The relationship was first reported in November when the couple were sighted at several LA hotspots.
> Jennifer Lopez should date less obsessive men, says manager
Watch the video for Jennifer Lopez and Marc Anthony's 'No Me Ames' below: