Biomedical Engineering Degrees. 1  Baccalaureate Degree: It takes most students four years to complete the coursework for a bachelor's degree. 2  Master's Degree: Holding a Master of Science degree in Biomedical Engineering qualifies job candidates for a number of research and supervisory positions.  Doctorate Degree: A Ph.D. program typically aims to prepare students for advanced research particular specialized areas of biomedical engineering. Students can specialize in areas such as molecular biology or cell and tissue engineering. A doctorate can take between up to four years to obtain.