Four people, including a woman in her 60s, were assaulted outside a pub on a Saturday evening.
The incident, which is reported to have occurred outside The Lamb Inn in Ringwood, took place between 8.15pm and 8.30pm in the evening of September 21.
Officers said the victims were three women, aged in their 30s and 60s, and a man aged in his 30s.
Some of the victims sustained injuries and required follow-up medical treatment.
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A spokesperson for the police said: "We would like to hear from anyone who has any information which may assist in our investigation.
"Were you in the area at the time of the incident and do you recall witnessing it? Do you know the identity of any of those responsible? Do you have any footage of the assaults, whether that be mobile phone, dash cam, doorbell camera or any other CCTV?
"If you can help us with any of the above questions, please contact 101 and quote incident number 44240406917."
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