According to the New York Post, Eric Bellucci, 30, from Staten Island, New York, took his parent's car and drove to Newark Airport, where he boarded a flight to Israel following the killings.
Israeli authorities, with help from the New York Police Department, are hunting for him, law enforcement sources said.
Bellucci boarded an El Al Airlines flight and has landed in Tel Aviv, the sources said. Police said he remains the only suspect in the case.
His parents, Arthur Bellucci, 61, and Marion Bellucci, 56, were found dead inside their home in the Annadale section, on Staten Island’s South Shore. They were discovered by Bellucci's sister, Vanessa, 25, on Wednesday.