A 33-year-old man from Hull was arrested by police in Immingham overnight on suspicion of attempted murder.
Officers from Humberside Police attended an incident on Sunningdale Drive at around 10.30pm on Monday, February 12.
Two women were injured, one with serious injuries, in what officers believe to be a domestic incident.
Detective Inspector Rich Sage said: “Two women have been injured, one with serious injuries, and have been taken to hospital.
“We believe this was a domestic incident and are therefore not looking for anyone else in relation to the incident. We do not believe that there is any danger to the wider public.”
Anyone with information is being asked to call 101 quoting incident number 412 of February 12.