The legal documents cite irreconcilable differences, and come after a the couple separated last July.
Rumours had linked Anthony with Jada Pinkett Smith, the wife of Will Smith, although both denied there had been an affair, while Lopez has revealed she is dating backing dancer Casper Smart.
Anthony has requested that any class for spousal support from Lopez be dismissed.
The divorce marks the breakdown of Lopez’s third marriage, after she divorced Ojani Noa in 1998, and Chris Judd in 2001.
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