Avon and Somerset Police said there had been 66 arrests and around 110 crimes so far - around a third fewer than this time last year.
"The festival is going very well so far from our perspective although we're certainly not going to be complacent.
"In the first couple of days we made some positive arrests of people we believe had come with the intent to commit crime.
"However, you still need to be sensible as you continue to enjoy all the entertainment on offer.
"Remember too that if you hold your phones up in the air they are easy to grab so think about leaving the photos and simply enjoying the moment!"
More top news
The grieving mother of a missing man has stopped planning his funeral - after finding out that body parts recovered by police aren't his.
A paedophile from Bristol has been sentenced to 14 months in prison after he was caught by a pair of mums posing as underage girls online.
New research has found that women get angrier than men when driving. So we sent our reporter to take the world's first Driving Emotion Test.