Osborn was on the faculty of The University of Wisconsin-Madison Medical School from 1966 to 1984 as a professor in the Medical Microbiology Department and also the Department of Pediatrics. She was appointed associate dean for biological sciences at The University of Wisconsin Graduate School in 1975. In 1984 Dr. Osborn was offered a position as the dean of The School of Public Health at The University of Michigan so she decided to leave Wisconsin.
She later on became the dean and professor of epidemiology, pediatrics, and also communicable diseases at The School of Public Health in Michigan.[1] While serving as dean June E. Osborn set up a post-doctoral program for minority scholars to assist them in preparing for growth and success in faculty positions. Osborn remained serving as the dean until 1993.[3]
She was elected to membership in The Institute of Medicine in 1986 and from 1995 through 2000 she was a member of its governing council. Later on in 1994 she was elected to fellowship in The American Academy of Arts and Sciences. Osborn went on to be the sixth president of the Josiah Macy, Jr. Foundation in New York in 1996.[1]
Osborn has achieved international recognition for her events during the AIDS epidemic.[3] Throughout the 1980s and 90s Osborn had several senior positions that include The Lung and Blood Institute Advisory Committee on AIDS, The National Institutes of Health, The National Advisory Committee for The Robert Wood Johnson Foundation's AIDS Health Services Project, and The United States National Commission on AIDS. Osborn was an active member of The Global Commission on AIDS of the World Health Organization.[1] Throughout the height of the AIDS epidemic in the 80s and 90s Osborn gave many speeches on and wrote many articles about AIDS, HIV, and the public health and policy issues that accompanied them.[3]
Dr. June E. Osborn, M.D., retired from active faculty status of professor of epidemiology in the School of Public Health and professor of pediatrics and communicable diseases on September 30, 1996.[3]
Dr. June E. Osborn is currently in New York serving as a member of The Boards of the Corporation for Supportive Housing, The Center for Health Care Strategies in New Jersey, and the Legal Action Center. She is also one of the chairs on the Physician Leadership on National Drug Policy, an organization based out of Brown University.[1]