As the end of a trial period looms,concerns persist about injuries and riders not wearing helmets.
Scooter compliance is the responsibility of the police,deputy mayor Adrian Schrinner said.
The motorised scooter rider was allegedly three times over the legal alcohol limit at South Bank on Australia Day.
Riders are zipping through Brisbane streets without helmets because there are not enough free ones around.
There have been about 60 scooter-related incidents reported since hundreds of Lime scooters appeared in Brisbane.
Road police boss supports lime scooters but warns people to ride safely.
The man is accused of riding drunk on the road with a blood alcohol concentration 3.5 times the legal limit.
About 20 Lime scooters have been confiscated by Gold Coast City Council after a notice was given to remove them as they were against local law.
The company behind the electric scooters that have taken over Brisbane has copped a notice to remove its scooters the same day they launched.
The rules have officially been changed to allow people to ride electric scooters in Brisbane,following a temporary permit and trial.
Multiple operators have approached Brisbane City Council seeking to roll out scooters but it is understood there can only be one.