A young woman and a 12-year-old boy have been injured by flares during the A-League match between Melbourne Victory and Brisbane Roar in Melbourne on Friday night.

Police said a number of flares were let off during the second half at Docklands stadium and both the woman in her 20s and and the boy suffered burns.

Two teenagers were arrested over the incident.

Commander Nick Nugent said letting off flares was illegal and completely unacceptable.

"Last season, there were eight instances where flares were let off," Commander Nugent said.

"Since the first match on 10 October this season, we've already seen 38 flares let off and approximately 200 chairs broken.

"Flares are extremely dangerous. They can burn at more than 1,000 degrees Celsius and are not designed to be released in highly populated areas.

He said violence, irresponsible behaviour and criminal damage should not be happening at sporting events.

"We have been working closely with the Football Federation Australia, the stadiums, the clubs and security to make matches a safer, more enjoyable environment for match-goers," Commander Nugent said.

"There were approximately 22,000 people in attendance last night and while we know that the majority of people are well behaved, there are a certain group of individuals within the active supportive groups who go to matches with an alternative motive."

Victoria Police said about 30 people have been arrested at Victorian A-League soccer matches so far this season.