One rocket hit near the U.N. compound in Baghdad's Green Zone at 6:15 a.m. local time, killing two members of a catering company that worked at the U.N. facilities, the United Nations said in a news release. Fifteen others, all employees of the catering company, were wounded.

"No U.N. national or international staff were killed or injured as a result of the attack," the U.N. Assistance Mission for Iraq said in a statement.

The second rocket attack occurred at Camp Victory, the U.S. military base near the Baghdad International Airport. No military staff were killed or wounded in that attack, CNN reported.

The United Nations' presence in Iraq has been limited since a suicide bombing of its Baghdad headquarters in 2003 killed 22 people, including the top U.N. envoy, Sergio Vieira de Mello.