Sussex Police had urged non-locals to stay away from the event due to the risk of “crowd crushing and crowd movement” in the narrow streets.
“The celebrations are always busy, challenging and complex,” Ch Supt Howard Hodges told Radio Sussex.
“This is an event steeped in history, culture and tradition but it’s one we can’t be complacent about.
“There are inherent risks and that’s why the police, ambulance and fire service work really closely to make sure people can attend safely.”