Rice did not mention the Obama administration's response to the attacks or Republican presidential candidate Mitt Romney's criticisms of an initial response to events that unfolded in Egypt on the anniversary of the Sept. 11, 2001, terror attacks.
Rice is a prominent supporter of Romney's and delivered a widely praised speech at the Republican National Convention in Tampa, Fla., weeks earlier.
Democrats have lashed out at Romney over his initial statement, saying the GOP candidate was prematurely injecting politics into events in the Middle East that were still unfolding. Top Republicans generally did not address Romney's criticism.
"These terrible incidents highlight the ongoing security challenges in Libya and Egypt, and I call upon the Libyan and Egyptian governments to protect diplomatic facilities, secure their borders, and redouble efforts to combat extremist terrorism within their countries," House Majority Leader Eric Cantor (R-Va.) said in a statement.