In the shots, Maisani is sitting on the grass in a New York park trading kisses with a dark-haired hunk.
Cooper came out just more than a month ago, saying in a statement, "The fact is, I'm gay, always have been, always will be, and I couldn't be more happy."
The well-paid CNN news anchor, 45, has been in a relationship with Maisani, 39, for several years, and they reportedly live together in Cooper's Manhattan townhouse, a converted fire station.
While Cooper is busy with his high-profile television career, his boyfriend owns the gay bar Eastern Bloc in the East Village.
Although a regular tweeter, Anderson has not updated his social networking page since the photos were published on Sunday. He attended World Humanitarian Day at the United Nations Friday, taking in a Beyonce performance there.
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