Police were called to reports of a disturbance and found the men suffering stab injuries under the shadow of Canary Wharf in Pepper Street on Monday evening.
Three ambulances and several cop cars were seen parked on the road, lined with popular restaurants.
The trio were treated at the scene and taken to a major trauma centre but their injuries are not life-threatening.
A spokesperson for the London Ambulance Service said: “We sent three ambulance crews, a medic in a car, an incident response officer and a clinical team leader to the scene. We also dispatched London’s Air Ambulance.”
Met Police issued a section 60 order on the area giving them enhanced stop-and-search powers until 9am on Tuesday.
Officers confirmed at this early stage of the investigation, there have been no arrests.
A spokesperson said: “Police were called at 5.47pm on Monday, July 19, to reports of a disturbance in Pepper Street, E14.
“A crime scene is in place and enquiries are ongoing.”