Levi has received numerous awards including the Paul Marks Prize for Cancer Research, the Jane Cooke Wright Award from American Association for Cancer Research, the New Innovator Award from the National Institutes of Health (NIH) and an Outstanding Investigator Award from the National Cancer Institute (NCI). He serves on the scientific advisory boards of major cancer centers, including Memorial Sloan Kettering Cancer Center and MD Anderson, and is a member of several major NIH and NCI advisory committees. In 2009, Levi was inducted into the American Society for Clinical Investigation and served as its President from 2015-16. In 2015 he was inducted into the Association for American Physicians.