Ssebuwufu attended Namilyango College for his middle and high school education in the 1960s. He studied at Makerere University, for his Bachelor of Science and Master of Science degrees, both in Chemistry. In 1974, he won a scholarship to study for a Doctor of Philosophy at Queen"s University Belfast in Northern Ireland, from which he graduated in 1977.
Ssebuwufu spent another two years at Queen"s University on a postdoctoral fellowship also in chemistry.
He is the current chancellor of Kyambogo University, Uganda"s second-largest public university. The correct spelling of his last name is Ssebuwufu. However the literature contains many instances where the name is spelled with a single "s".
On returning to Uganda in 1979, Ssebuwufu was appointed as lecturer in the Department of Chemistry at Makerere University.
He continued in that position until 1985, when he was promoted to senior lecturer. In 1987, he became the head of the Chemistry Department at the university.
In 1990, he was elevated to the rank of professor and was appointed principal of the Institute of Teacher. Now part of Kyambogo University.
He served in that capacity until 1993 when he was appointed vice chancellor of Makerere University, Uganda"s oldest and largest public university.
He served as vice chancellor until the expiration of his tenure in 2004. In February 2014, the President of Uganda appointed him chancellor of Kyambogo University. In addition to his responsibilities at Kyambogo University, Ssebuwufu is the current Principal of Kisubi Brothers University College (KBUC), a constituent college of Uganda Martyrs University.
In the past, he has served as the director of research programs at the Association of African Universities (Amateur Athletic Union) in Ghana.
He serves as the chairman of the board of directors for following Ugandan companies and businesses: Citibank Uganda - A subsidiary of Citigroup of New York Uganda Management Institute (UMI) National Environment Management Authority of Uganda (NEMA) National Council for Science and Technology.
Ssebuwufu is a member of the World Bank Millennium Science Initiative and is one of the technical experts for Uganda.