The town has been hosting its annual carnival week, which attracts about 250,000 visitors to the area.
Supt Malcolm Cooke said: “Local businesses were made aware of a small number of incidents dealt with by officers, but no official police direction was given that businesses should close.
“We acknowledge there have been a number of incidents in Cromer over the weekend, which will understandably cause concern.
“However, I can assure residents these incidents have been dealt with appropriately and are of a nature routinely dealt with in towns such as Cromer on a busy August weekend.”