The idea of setting up a military command in Africa is an unpopular idea, and so far only Liberia has said it would host it, says the BBC's Will Ross in Accra.
Critics say Africom is designed to protect strategic American interests on the continent such as oil.
Fighting diseases
Mr Bush also announced a grant of $17m (£8.8m) to help the Ghanaian government in the fight against malaria, and a $350m (£180m) five-year plan to fight what he described as "neglected tropical diseases" such as hookworm or river blindness.
Under a 2006 deal, Ghana is receiving $547m (£282m) in funds under the Millennium Challenge Corporation, a US initiative which twins aid to fight poverty with so-called "good governance".
On Tuesday, Mr Bush was in Rwanda, where he urged the world to take action to stop the violence in the Sudanese region of Darfur "once and for all".
He drew parallels between the 1994 genocide in Rwanda, and the violence in Darfur - where at least 200,000 people are feared to have died since 2003, and which the president has also termed "genocide".
Mr Bush pledged an additional $100m (£51m) towards peacekeeping in Darfur, but defended his decision not to contribute US troops.
Mr Bush has been making pledges to help fight Aids and malaria, and promises of aid and investment, as he tours Africa.
After Ghana, he will travel briefly to Liberia, the final stop-off on his trip.
BBC Online |