The city shut down the market Thursday after inspectors found the pests. Now the market must clean the building and hire an exterminator.
City officials say they expect the market to reopen sometime next week.
The Broad Street Market bills itself as the oldest continuously operated market house in the country. It traces its history back to 1860.
Market board member Bert Keisling apologized to customers for the inconvenience and promised to correct the problem.