The incident happened at Barrett Street in Bracken Ridge at about 9:00pm on Friday after an argument broke out between the two.
Police will allege the boy went to a car and grabbed a small axe which he used to hit the man with.
The 62-year-old man was taken to the Royal Brisbane and Women’s Hospital and treated for injuries to his neck and ear.
In a statement, Queensland police said the boy left the scene with a second person, believed to be his mother.
“A verbal altercation took place between three people … before the 62-year-old man sustained facial injuries after being stuck with an implement,” it said.
Queensland police today charged the teenager with an act intended to cause grievous bodily harm.
Police said the boy handed himself in to police at about 9:40pm yesterday where he was denied bail.
He is expected to face court next week.