House Armed Services Chairman Buck McKeon signed a letter that criticized earlier administration suggestions that the attack in Libya was the result of an angry mob of protesters.
Asked about the Libyan intelligence on Air Force One, White House Press Secretary Jay Carney said information provided reflected what was believed.
"Over the course of the past two weeks, this administration has provided as much information as it has been able to. We made clear that our initial assessment and interim reports were based on information that was available at the time," Carney said.
The House lawmakers also questioned why the FBI appears to be the lead agency investigating the deaths of U.S. Ambassador to Libya Chris Stevens and the three others.
"This seems like a pre-9/11 mindset - treating an act of war solely as a criminal matter, rather than also prioritizing the gathering of intelligence to prevent future attacks," they wrote.
The FBI typically takes the investigative lead on attacks on Americans overseas.
Carney said both FBI and State Department investigations are ongoing.
Terri Henderson, 6, center, whose mother is El Salvador, attends a rally with members of Congress at Union Station's Columbus Circle to announce the Restore Opportunity, Strengthen, and Improve the Economy (ROSIE) Act on July 29, 2014. The legislation provides incentives for government contractors to pay a living wage and other benefits that would help low-income workers.