The Short Version
This claim is false. Napoleon's recorded height of "5 pieds 2 pouces" was in pre-metric French units, which converts to approximately 1.67–1.69 m (about 5'7"). The average French adult male of his era stood roughly 1.64–1.65 m. Napoleon was therefore average or slightly above average height. The widespread myth stems from a unit-conversion error and British propaganda, not from historical fact. Multiple authoritative sources—including Encyclopædia Britannica and History.com—explicitly debunk this misconception.