City Hall has warned it will take back thousands of tickets to Brisbane's first Eat Street Markets event on the Story Bridge if their owners don't return them by Friday.

Brisbane Deputy Mayor Adrian Schrinner said the move was needed after about 300 people managed to break the 10-tickets-per-person limit for the free event.

The first allocation of 25,000 tickets was snaffled up in minutes when they were released on May 15.

Cr Schrinner said about 3000 of those tickets were claimed above the 10-ticket limit.