"Marc is no longer dating model Shannon de Lima," his rep Blanca Lasalle tells PEOPLE exclusively. "The amicable breakup became official right in mid-January."
De Lima and Anthony – who went public with the romance last January on Twitter by calling his model girlfriend "my statue of liberty" – didn't show any sign of discord before their split.
The couple were spotted on Jan. 16 in New York City at Marquee, where an observer noted, "Shannon was dancing up a storm with her friends while sipping champagne and taking iPhone photos of the themselves and the light show. At one point, Shannon even jokingly gave Marc a lap dance when Pitbull came on."
The reason for their split? "The truth is they have been having a great time together, but it no longer worked," says a source.
As for Anthony, it seems he's moving on. "Marc is in a good place," the source adds. "Sometimes things work out and sometimes they don't."
Before de Lima, Anthony, 44, was married to Jennifer Lopez for seven years. The couple announced their separation in July, 2011.
In a recent PEOPLE cover story, Lopez opened up about her painful split from Anthony, saying it felt like her "whole world fell apart."
Reporting by LIZ MCNEIL and CARLOS GREER