Ex-mayor Rudy Giuliani has turned a corner in his recovery from pneumonia – and is even “cracking jokes” after being in critical condition, his son Andrew Giuliani revealed Tuesday.

“Good news update: Thank you for the love and support you’ve shown my Dad over the past few days,” the younger Giuliani said.

“Just yesterday he was in critical condition, so I’m incredibly grateful to share that he is now conscious, off the ventilator, and even cracking jokes.”

Rudy Giuliani, 81, was hospitalized over the weekend after he came down with pneumonia, apparently exacerbated by a respiratory illness that he contracted during the Sept. 11, 2001 terror attacks.

He fell into a coma, but emerged from it Monday, his friends revealed.

Tom Von Essen, the former mayor’s friend and fire commissioner during 9/11, said said this morning that things are looking up for “America’s mayor.”

“It looks like Rudy’s has turned a corner. We hope he continues to improve,” said Von Essen, who has been briefed on his condition.

“I worry about him. What he has done for New York City and the compassion he showed 9/11 families is remarkable. I hope he has a great recovery.”