Story highlights Daniel and Larry Lennox-Choate were attacked in Manhattan's Soho neighborhood Sunday

A man in his 40s began shouting anti-gay statement at the couple, police say

Larry said he "handled the situation," and the attacker "left covered in his own blood"

New York (CNN) New York police are searching for a man who randomly attacked the first male same-sex couple to be married at the United States Military Academy at West Point, authorities said Tuesday.

Daniel Lennox-Choate and Larry Lennox-Choate, both former West Point cadets, were shopping at a small grocery store in Manhattan's Soho neighborhood Sunday afternoon when they found themselves the target of anti-gay obscenities, police said.

A man, believed to be in his 40s, had entered the store to buy beer, but then began making homophobic statements at the couple, leading to a verbal dispute, police said.

The man then struck Daniel in the face, causing minor injuries to his mouth. But he didn't get away clean.

"Aside from one fat lip and a sore punching arm, we are fine," Larry wrote on Facebook. "The guy who screamed anti-gay obscenities at us in a bodega before sucker-punching Danny? He left covered in his own blood with his tail between his legs after I handled the situation and tossed him in the street like the coward loser he is."

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