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
A couple who lost an unborn baby to complications from twin to twin transfusion syndrome have raised money for research into the condition.
Dorset has a new migrant population - barrel jellyfish are washing up in their dozens on its shores.
The family of one of Britain's oldest poppy-sellers say charities which bombarded her with donation requests were not to blame for her death