Before joining Ugandan politics, Rugunda worked as medical officer in Zambia, as a physician at the District of Columbia General Hospital in Washington, D. C., and at Kenyatta National Hospital in Nairobi, Kenya.
Sebelum bergabung politik Uganda, Rugunda bekerja sebagai Medical Officer di Zambia, sebagai dokter di rumah Sakit Umum DC di DC Washington, dan pada Rumah Sakit Nasional Kenyatta di Nairobi, Kenya.