First red-tailed hawks, now blacked-headed caiques.

Tompkins Square Park is clearly for the birds.

An East Village man recently corralled the caique — a rare Amazon parrot — near the entrance at Seventh Street and Avenue B.

Anthony Lisske was biking through the 10-1/2-acre park on Jan. 30 when he “heard a loud fancy bird” tweeting, according to his Facebook post. Lisske, 47, opined that the “pretty” parrot looked “cold and miserable,” so he texted his pal Clint Smeltzer, the “Birdman of Loisiada.”

Smeltzer, 44, an operations manager, was at the park within 15 minutes to help wrangle the brilliantly colored black-headed bird, whose cheeks, throat, thighs and flanks are an orange-yellow, while its back, wings, rump and upper tail are forest green and the breast and belly are creamy-white.

“Amazingly enough, it just hopped on his finger,” pal Lisske posted.

Smeltzer said he was “prepared with heavy gloves and towels,” but the “freezing” bird “stepped right onto my hand.”

Temperatures dipping to 25 degrees may have explained the tropical bird’s cooperation.

While the East Village activist secured the robust, 10-inch caique within minutes, finding the rightful owner has been a “bird-en” for Smeltzer.

In a brief conversation with The Post, Smeltzer said at least 10 people had stepped forward to claim the parrot — who is currently in a cage crashing in his Second Street apartment — but “most of their stories don’t add up.”

Smeltzer regrets putting his cellphone number on social media because he’s been inundated with hundreds of texts and messages from rescue groups and animal lovers offering advice.

Smeltzer told The Post he had a few caique caper “leads,” but was cagey about whether he had found the owner, who may be out of the country. His caws for concern? “I personally don’t really want anymore publicity,” he said.

However, bird lover Smeltzer said he will “gladly adopt” the caique if he can’t confirm ownership.

The parrots are social birds endemic to northern South America, specifically northern Brazil, Colombia, Ecuador, French Guiana, Guyana, Peru, Suriname and southern Venezuela. In the wild, caiques are generally seen in pairs or flocks up to 30 birds.

The small, high-energy parrots — who can live to be 30 to 40 years old — are popular pets known for their mischievous personalities and quick ability to learn tricks, according to beautyofbirds.com.

Tompkins Square Park is home to other fowl celebs. Red-tailed hawks Christo and Dora ruled the roost for more than five years, mating and raising 10 chicks together, and caused a stir when Christo took on some side chicks.