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BBC World News
General William Ward said the command would not be used to gain control of African natural resources such as oil.
He also dismissed fears that the US intended to build large military bases on the continent.
Only one country, Liberia, has offered to host Africom, which is coming into full operation at its headquarters in the German city of Stuttgart.
General Ward said the location of the headquarters, for its 1,300 military and civilian personnel, was less of a concern, given the size of the African continent.
The BBC's Adam Mynott says the creation of Africom is a recognition by the US that Africa and security issues on the continent are now a priority.
It reflects concerns about tackling Islamist extremism, securing oil supplies, and countering Chinese influence in Africa, he says.
But its creation has been met with considerable scepticism, our correspondent says.
See: http://news.bbc.co.uk/2/hi/africa/7645714.stm