Dick, a former assistant commissioner of the force, succeeds Bernard Hogan-Howe, who is stepping down next week.
The Home Office announced the appointment of 56-year-old Dick on Wednesday.
Dick is highly regarded by many Scotland Yard peers, but she has drawn criticism for commanding an operation in the wake of the July 2005 London bombings in which an innocent Brazilian man, Jean Charles de Menezes, was shot dead by police after being mistaken for a suicide bomber.
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