Anti-immigration protesters threw missiles at police outside the Holiday Inn Express in Rotherham.
They were also seen breaking into the hotel, setting fires and smashing windows.
In Bolton, fireworks and smoke bombs were thrown, as police worked to keep rival protesters apart.
One group shouted “Allahu Akbar” at anti-immigration demonstrators.
There have now been several days of rioting in the UK, following misinformation about the fatal stabbing of three young girls in Southport on Monday.