A group of young men approached the 22-year-old and his friends before lashing out at them in Berewood skatepark, Waterlooville, at 4.25pm yesterday.
The victim was hit with a stick and suffered cuts to his fingers.
Reports on social media claimed a knife was involved, but police said this was not mentioned to officers attending the incident.
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Pictures on Facebook show the man with bruises to his body.
A Hampshire police spokeswoman said: ‘We received a report from a resident about a group of males fighting in the skate park at around 4.25pm yesterday.
‘There was no mention of any knives being used or seen.
‘Officers attended a short time later and spoke to a 22-year-old man who reported that he and his friends were approached by a group.
‘He reported being hit by one of them with a stick and pushed. He suffered a cut to his finger.
‘He did not want to make a report. Local officers will be continuing patrols in the area.
‘There was no mention of any knives by the aggrieved.’
Posting on Facebook, a woman claiming to be the victim’s sister said: ‘Please be vigilant/extra cautious if you or anyone you know goes to this skate park.
‘My brother was assaulted here earlier today unprovoked.
‘Two young people verbally assaulted him then hit him multiple times.’