Two Asian businesses in Wyke were damaged after clashes involving groups of youths on Saturday night.
Police arrested seven men aged between 17 and 20, two Asian and five white, in connection with possession of offensive weapons.
The Adil Takeaway and Khyber Pass restaurant in Wyke were both damaged but no one was injured.
Business owners in Wyke had been preparing for violence over the weekend, with some shutting up early on Friday.
One businessman, who did not want to be named, said: "There were rumours about something going off on Friday and when it didn't happen we thought things had calmed down, so everyone was open as normal on Saturday, but then these youths came along.
"Our hands are tied, we want to speak out but if we do there might be reprisals."
Police maintained a heavy presence on Bradford streets over the weekend. Two armoured vehicles previously used in Northern Ireland and scores of officers from other north of England forces were deployed.
Uniformed police went on patrol in Manningham, the scene for much of last weekend's trouble, and other parts of the city.
A police spokesman said the seven arrests were not being linked to violence in the city earlier this month.
Two men were arrested in Lumb Lane, Manningham, for possession of firearms, one was arrested in Bradford Road, Bradford, for possession of CS gas and two other men were arrested in the same road for possession of offensive weapons.
The police made a total of 24 arrests on Saturday night, but stressed that not all of them were related to the previous weekend's race violence.
Chief Superintendent David Collins said: "The police have dealt with fewer incidents than normal for a Saturday night."
Around 25 members of the Anti-Nazi League (ANL) campaigned from a stall in Bradford city centre on Saturday.
ANL member Ateeq Siddique said: "Some of our members have felt a bit deflated during the week because of the attack we have been under.
"But there was a lot of positive feedback from people who came to see us.
"A couple of Nazis came up to us but we had enough people to deal with them."
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