Police say there is no suggestion it was terror related – neither of the victims have life changing injuries
The 11-year-old girl will require hospital treatment but her injuries are not life threatening.
The second victim suffered more minor injuries.
A man has been arrested and is in custody.
The Metropolitan Police said they do not believe there are any outstanding suspects.
Officers remain at the scene, which is in one of the busiest tourist areas in the capital.
A London Ambulance Service spokesperson said a woman and child stabbed in Leicester Square had been taken to a major trauma centre.
A police cordon has been put in place surrounding the double doors of the TWG Tea shop on Leicester Square after an 11-year-old girl and 34-year-old woman were reportedly stabbed.
The cordon is beside the LEGO store and in front of the M&M store, and families and tourists are still standing in queues for each.
At least six police officers are at the scene.
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The ambulance spokesperson said: “We were called at 11.36am on Monday 12 August to reports of a stabbing at Leicester Square.
“We sent resources to the scene, including an ambulance crew, an advanced paramedic and an incident response officer. We also dispatched members of our tactical response unit.
“We treated a child and an adult at the scene and took them to a major trauma centre.”
A security guard, who gave his name as Abdullah, 29, said he had worked in security at the TWG Tea shop.
He told the PA news agency: “I heard a scream, at that moment I saw there was one person, roughly (in their) mid-30s or early 30s, and he was like stabbing a kid – I jumped on him, held the hand in which he was (carrying) a knife, and just put him down on the floor and just held him and took the knife away from him.
“Then a couple of more people joined as well, and we just held him until the police came, it took maybe three to four minutes for the police to arrive and then they just took him into custody.”
He and his colleagues gave first aid to the child before the police joined in, he said.
“I just saw a kid getting stabbed and I just tried to save her. It’s my duty to just save them.”
He added that he did not know if the girl was with family members at the time.







