Both firms will now be invited to submit detailed bids in June for the three projects which will be built in Leeds, Wakefield and Carr Gate.
West Yorkshire Police said the project remained on programme to begin construction in spring 2012 with latest building forecasts still within original price estimates.
A final business case will be submitted to the Home Office and Treasury for approval this summer.
Last year the Home Office endorsed the decision to give the scheme £216m of PFI credits.
The Elland Road station, to be built on the former greyhound stadium, will replace outdated facilities at Millgarth police station, in Leeds city centre, and Holbeck police station.
West Yorkshire Police said further public consultation events at each of the three sites at Elland Road, Havertop Lane and Carr Gate, Wakefield, will take place over the coming months.