Bronwyn Simes, the museum project development manager, said she was pleased the cable car shift had gone smoothly, with high levels of skill shown in moving the car on and off a truck by forklift.
The cable car was constructed in 1906 and it was initially used on the Elgin Rd cable car extension.
When this line closed in 1910, the cable tram was transferred to the Maryhill line, servicing the area until 1955.
The museum redevelopment's first stage - the construction of a climate-controlled storage building - was completed last year.
The redevelopment's second stage involves the former NZR bus station and garage, with the roof being replaced at the garage.
Ms Simes said that much of the earlier redevelopment work had gone on behind the scenes, and moving the cable car was one of the first signs for the public that the redevelopment was entering a new phase.
The museum's transport gallery has closed to the public from today and redevelopment work at the bus station will continue for much of this year.
The redevelopment's third stage, involving the museum's original brick Burnside building, will begin late this year.
Key museum services will continue to be offered at the bus station ticket hall area throughout next year and 2012, when most of the museum will be closed to the public.
