Detectives said the incident happened at 12pm on Tuesday, March 17, when a 29-year-old man was pursued along Clarendon Road in Morecambe.
When he was at the junction of Devonshire Road, the man was assaulted and stabbed a number of times.
He sustained stab wounds to his buttocks which required medical treatment and has since been discharged from hospital.
DC Tris Hardwick of Lancaster CID said: “I would urge anyone who may have witnessed what happened to contact us on 101.”
Anyone with information can call police on 101 quoting crime reference WB1502038.
Alternatively, they can contact Crimestoppers anonymously on 0800 555 111 or online at Crimestoppers-uk.org.
No personal details are taken, information is not traced or recorded and you will not go to court.
*Benjamin Long, 35, of Clarendon Road, Morecambe was charged with Section 18 - wounding with intent and possession of an offensive weapon.