The Edinburgh-based practice saw off eight other design teams to land the project - the conversion of a former printworks building into a home for nearly 800 workers.
The staff will move in from an existing council office block, the much-maligned 1970s Tayside House tower - which is due to be demolished in three years' time as part of the city's Central Waterfront Development.
Reiach and Hall's proposals for North Lindsay Street include reusing the original DC Thompson printing house and retaining the listed facade and double-height press hall.
The revamped building will be fronted by a new civic arcade which will 'connect via a top-lit one-stop-shop foyer of reception and information [services] through to the new extension of the Overgate Centre Mall'.
Describing the scheme, a practice spokesman said: 'This dramatic linear space, which was once at the heart of Dundee's journalism industry, now becomes the front door to the city's civic offices and offers a collective and democratic space to the city.'