Saudi Arabia "offers its condolences to the United States on the victims of the violence that targeted the US consulate in (the Libyan city of) Benghazi," it said.
The ultra-conservative kingdom also "affirms its rejection of all acts that insult religions and religious symbols."
Protests have erupted since Tuesday outside US diplomatic missions in Egypt, Libya, Yemen and other Arab states by demonstrators who deem the low-budget movie Innocence of Muslims made in the United States as offensive to Islam.
The US ambassador to Libya, Chris Stevens, and three other Americans were killed when heavily-armed extremists launched a sustained four-hour attack on the US consulate in Benghazi late Tuesday.
In the Yemeni capital, police on Thursday shot dead a protester and wounded five others when they opened fire on a crowd attempting to storm the US embassy, a security official said.