Groups from South Coast Patriots are expected to demonstrate in Portsmouth city centre later, and Stand Up To Racism to host a counter protest.
Hampshire Police has warned that protesters wearing face coverings could face arrest.
The force said it would use the powers under the Crime and Policing Act 2025 to “allow peaceful protest and prevent violence”.
The powers will apply to anyone involved in protests within a map area designated by police between 10:00 BST Saturday and 10:00 Sunday.
Staffordshire Police also said it would ban the use of face coverings at a planned protest in Tamworth on Saturday, where Britain First has said it will carry out a so-called March for Remigration.
Northumbria Police has a similar ban in place in Newcastle city centre.
Hampshire Police previously said several of its vehicles, alongside those of the coastguard and Border Force, were damaged during the disruption in Eastney, which lasted until the early hours of Monday.
It added that a small number of officers were treated at the scene for injuries, but no-one in attendance was seriously injured.
The disorder in Portsmouth followed a separate anti-migrant protest at the Port of Dover the day before.