The women, all in their 30s, were wealthy tourists from the United Arab Emirates (UAE), putting up in a room on the seventh floor of the four-star Cumberland Hotel in Marble Arch.
Three children were sleeping in an adjoining room in the early hours of yesterday morning when the brutal attack took place but they were unharmed.
Police said a single male suspect entered their room.
They said he was disturbed when some of the occupants of the room woke up and the three women were subsequently assaulted with a hammer.
A spokesman for the Guoman group, which owns the 1,000-room hotel, said: "All of our thoughts are with the families of the injured women. We are doing everything we can to support the police with their enquiry, but it is too early to comment any further."
Scotland Yard has launched a nationwide manhunt to trace the attacker who was not a guest at the hotel.
Detective Chief Inspector Andy Chalmers said: "This was an unusually violent attack on three women and I am very keen to speak with anyone who has in or around hotel between 1am and 2am on Sunday morning."
One line of inquiry is also that the assault came after a bungled robbery by a thief.
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