A 24-year-old man was stabbed on North End Road on Wednesday night.
Police were called to the Talgarth Road end just after 7pm, and found the victim by the roadside.
They also found a 19-year-old man suffering from minor head and arm injuries in nearby Beaumont Crescent.
Both were taken to a West London Hospital, and are not believed to be in a serious or life-threatening condition.
Officers from Hammersmith & Fulham Violent Crime Unit are investigating.
No arrests have been made.