Two men are being treated in hospital after being found with stab wounds outside a McDonalds restaurant in Regent Street. It happened just before 3:30 Saturday morning.
The men's injuries are not thought to be life threatening and no arrests have been made.
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Police have stepped up patrols after a woman in her 40s was "dragged to the ground" in a park in east London.
Families living near Heathrow say they are supporting a group of activists facing jail for chaining themselves to the airport's runway.
Police were called to break up a "large fight" which involved a baseball bat, a man dislocating his shoulder and three arrests.