Police staged several charges at youths who hurled fireworks, bottles, stones and other objects at them. Dustbins were also set on fire.
"We're at home, we're at home," the crowds shouted at officers, who used police vans to block access to the avenue, a popular tourist destination and shopping street leading to the landmark Arc de Triomphe in the French capital.
Crowds booed at police as they moved along the avenue.
Fans who had gathered on the major thoroughfare after hosts France booked their place in the Euro 2016 finals with a 2-0 win over Germany mostly dispersed after the incidents, but some groups were still gathered, especially around the Arc de Triomphe.