Broadcast live on the BBC, the youth lunged from the crowd to try to take the torch from the hands of its bearer Anna Skora, but was swiftly bundled away by officers.
In one video posted to YouTube he can be seen waiting behind a car and as Ms Skora gets closer he lunges towards the torch.
Ms Skora was able to keep hold of the torch as the youth tried to wrestle it from her grasp, and security and police officers stepped in to protect the torch bearer and bundle away the youth.
The youth, from Gravesend, is currently being held in custody and the torch continued on its way without disruption, Kent Police said.
A Kent Police spokesman said: ‘At around 9.55am a man apparently attempted to take the Olympic Flame from a Torchbearer in Rochester Road.
‘The man, who is from Gravesend, was arrested within seconds and is now in the custody of Kent Police.
‘No one was injured in the incident and the Torch continued on its way without disruption.’