The 72-year-old Scot, who was also a leading light in London's successful candidacy to host the 2012 Games, saw off the challenges of former IOC Medical Director Patrick Schamasch and American hurdling great Ed Moses.
Reedie, who was elected an IOC vice-president prior to the London Games, will replace Australian John Fahey, who steps down after six years in charge in Johannesburg in November.
"Congratulations? I hope that's the right word. I think it's rather daunting after the doping stories of the past eight weeks," said Reedie, referring to high profile sprinters Tyson Gay and Asafa Powell, who failed dope tests.
"This is obviously the first step and then it has to be confirmed at the WADA meeting in November. Going on their past habits I believe they will say yes.
Reedie, an accomplished badminton player in his youth who lobbied successfully for it to become an Olympic sport, will face several challenges when he is officially elected and takes up the post on January 1 2014.