The clinic shall be named after their eldest daughter, Zahara, 3, adopted from Ethiopia.
Like the Cambodian Health Committee's Maddox Chivan Children's Center in Cambodia, the Jolie-Pitt Foundation backed centre shall provide medical education and social services to the children.
"Our goal is to transfer the success we have had in Cambodia to Ethiopia where people are needlessly dying of tuberculosis, a curable disease, and HIV/AIDS, a treatable disease," People quoted Jolie, as saying in a statement.
The centre in Ethiopia would also concentrate on tuberculosis, a disease that accounts for nearly 2 million deaths in a year, and is the principal source of death in children and AIDS in adults, globally.
Pitt added: "The fact that poor people continue to die in our world today of TB, a curable disease, because of lack of access to drugs and care is unacceptable."
The Jolie-Pitt Foundation was established in September 2006, when the duo had supported the Global Action for Children organization and Doctors Without Borders by donating 1 million dollars to each.