The 18-year-old Vancouver native hung on to third place despite dropping the ribbon early in her final routine at the Toronto Coliseum.
Bezzoubenko had a total of 60.399 points to finish behind Americans Laura Zeng (64.575) and Jasmine Kerber (62.200).
Carmen Whelan of Aurora, Ont, was sixth overall.
The all-around competition also includes scores from the hoop, ball, and clubs routines.
Bezzoubenko won five gold medals at last year's Commonwealth Games in Glasgow.
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