"Kill him. Cut off his penis. That's fine," she said. "Cut off his feet, then hit him over the head. Then give him life in prison."
She also vowed to return to the park that she loves.
"I hope he goes to jail for a long time, and he gets raped, over and over again," she told the newspaper.
Strawberry Fields is one of Central Park's busiest spots. It was named after the Beatles song "Strawberry Fields Forever" and was officially dedicated in 1985, five years after Mark David Chapman fired five shots outside the nearby Dakota apartment house on Dec. 8, 1980, killing Lennon.
Although the popular park is considered safe and there have been few reported crimes there in the past several years, there have been some headline-grabbing exceptions.
On April 19, 1989, a 28-year-old investment banker was found after being attacked while jogging. She became known worldwide as "the Central Park jogger."
She was in a coma for 12 days before beginning her near-miraculous recovery. The jogger, Trisha Meili, disclosed her identity in 2003 and published her memoir.
"My heart was just aching when I saw it in the headlines," Meili told the The Associated Press in a phone interview on Thursday.
"I want to send loving thoughts of healing to this woman and let her know that thousands are thinking about her and sending prayers for her vibrant spirit . . . to move forward from this horrible violation," she said.
Meili, who no longer lives in the New York City area, still jogs and is even back in Central Park from time to time.
"There are wonderful things that happen in that park, too," she said.