Speaking before the demonstrations, Assistant Chief Constable Paul Bartolomeo said: “Our priority, as always, is keeping the public safe and preventing crime and disorder”.
“We have been working closely with organisers, local partners and the community to ensure we balance the rights of those peacefully protesting and the rights of others to go about their lives without being subject to serious disruption.”
It comes as police and crime commissioner Donna Jones revealed more than £100,000 was spent in August alone to provide a police presence at anti-immigration demonstrations in Portsmouth and Southampton.
Speaking during a meeting of the Hampshire and Isle of Wight Police and Crime Panel on Friday, Ms Jones said “significant police planning” went in to such events.
“In areas where protests happen regularly, they take up a huge amount of police time and resources,” she added.
Additional reporting by Jason Lewis, Local Democracy Reporting Service