At around 3.20am, police were called to reports that a man in his 20s had been stabbed.
It followed a clash with three other men at the rear of Foster Street.
The victim suffered two stab wounds to his leg and was treated in hospital. His injuries are not life threatening.
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DC Luke Williams said: “This incident left the victim shaken and unable to give us details of his attackers.
“We would like to hear from anyone who was in the area at that time, and who may have information to help us establish who the offenders are.
“We are determined to find those responsible and will never tolerate such behaviour on our streets.”
Anyone with information can call Beds Police on 101 or use the force’s online reporting centre here, quoting reference number 48 of today (August 31).
Alternatively, contact Crimestoppers anonymously on 0800 555 111.