The force said police were called at 14:07 BST to Alcott Close in Feltham to reports of a stabbing.
It added: “On police arrival officers found a male with a stab injury. The suspect was no longer on scene. The male received medical treatment.
“Six minutes later, police were called to Walsham Road to reports of a stabbing at the location.
“On arrival, officers found two males with stab injuries. The suspect was no longer on scene.”
No arrests have been made yet, police said.
None of injuries received by all three men were life-threatening.
A Section 60 order, giving officers additional search powers, is in force in the area, Hounslow Police said on X, formerly known as Twitter.
