The 97-year-old evangelist has made the most admired list 59 times. His first appearance dates back to 1955.
For the seventh straight year, President Barack Obama was the most admired man, according to the polling. Former secretary of state and 2016 presidential candidate Hillary Clinton was the most admired woman for the 14th year in a row.
Clinton, who was first lady for most of the 1990s, has topped the most admired list 20 times – more than any man or woman in Gallup's history of the survey.
GOP presidential front-runner and business tycoon Donald Trump tied with Pope Francis for runner-up on the Most Admired Men list for 2015.
Graham extended his record for top 10 finishes, as did Queen Elizabeth II of England, who has made the list of Most Admired Women 47 times.
Graham has never finished first on the most admired list, but he was runner-up from 1969 through 1974 and also in 1997 and 1999.