The Times in December published an investigation that found no evidence that al Qaeda carried out the attack on the American consulate in Benghazi.
On Thursday McCain called the New York Times "that ever-reliable surrogate for the Obama Administration" and said that all its Benghazi investigation did was "propagate myths."
Graham said that the Times no longer produces journalism.
"To my friends at The New York Times: Journalism has died at this paper," he said on the Senate floor.
McCain and Graham are not the first lawmakers to criticize the Times' report on Benghazi. Rep. Peter King (R-NY) called the report "meaningless and baseless," and Rep. Mike Rogers (R-MI), chairman of House Intelligence Committee, also disputed the report.
On Wednesday the Senate Intelligence Committee released a report on the Benghazi attack, which found that al-Qaeda-affiliated groups participated in the attack.