Route 9 will be served by the New Bus for London - also known as the 'Boris Bus' - which has a conductor and the same hop-on hop-off feature as the old Routemaster.
The route - which runs from Hammersmith to Aldwych will get 22 of the new buses from Saturday. 16,000 people use the route every day.
Route 9 joins routes 24 and 11 which are already run entirely with a fleet of New Buses.
Route 390 will become part of the exclusive group on 9 December.
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London Underground's offer was conditional on unions responding by 6.30pm tonight.
Luke Gutteridge was taken to court after dropping a piece of fruit the size of a 10 pence coin.
The offer includes a 2% rise this year and £2,000 for drivers on the new all-night service.