A stab victim suffered “serious injuries” after a row near a railway station.
Two men were seen running in Railway Approach in Worthing at 8.10pm on Friday, where a fight broke out.
Police cordoned off the area, and forensics teams searched the area this morning.
A man in his 20s suffered injuries which police believe were caused by a knife, and was taken to hospital where he remains in a stable condition.
They say the suspect is a fair haired white man in his early 20s, who wore a dark coloured T-shirt.
Inspector Allan Lowe sad: “This violence is obviously distressing but I can assure local people that we are doing all we can, taking targeted action to help keep them safe.
“Criminality that puts people's lives at risk is never acceptable and it's vital that the community pulls together to help us deal with those responsible.
“I understand that residents will be concerned by violence taking place in the town but I want to reassure everyone that their safety is our priority.
“We want to speak to anyone who may have witnessed the incident to get in contact with us.
“No one knows their neighbourhoods better than residents themselves, so please get in touch if something seems suspicious or out of place.”
There were unconfirmed reports that the victim had collapsed outside the Arrow Taxis office.
The company was affected by the incident, and posted a sign to say its taxi rank was closed.
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In the note the company said: "There has been a major incident near our office.
"Our office and the taxi rank are currently inaccessible."
The firm said that under police instructions taxis could be ordered nearby.
Witnesses and anyone with information about the incident is asked to visit the Sussex Police website or call 101 and quote reference 1261 of 21/09.
Alternatively call CrimeStoppers anonymously on 0800 555 111.
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