The Bulletin reports in a story on Friday that city officials are temporarily suspending enforcement of a policy intended to prevent parked vehicles from blocking travel lanes.
The city stepped up enforcement in July, issuing hundreds of warnings and 27 tickets costing $50 each.
City Manager Eric King says the four people who paid their tickets will get refunds.
Wall and Bond streets are two-lane, one-way streets with diagonal parking on both sides. The parking spaces are 19.5 feet (6 meters) long.
Downtown business owners complained the tickets discourage potential customers, many of whom drive SUVs and pickups.