The Department for Transport waved through the 5.7km route, which is set to unlock delivery of new homes and jobs in the town.
With half the cost coming from central government and a target of £24m from developers, the council will be left to meet a shortfall of up to £22m.
The project is out to tender with a contractor set to be named in June for the project to start in November for a late 2020 finish.
The Jacobs designed single carriageway road will run to the north of Congleton between the A534 Sandbach Road in the west and the A536 Macclesfield Road in the north east.
Construction challenges will include passing beneath Chelford Road in an area subject to a high water table.
The road will be cut 8m deep into mudstone in a 25m high escarpment before crossing the River Dane on an 85m long bridge and landing on a 12m high embankment founded on piled alluvium.
There are two other road bridge crossings and two underpasses.
The scheme also has 3.5 km of realigned or new local roads and significant amounts of landscaping and environmental mitigation works to accommodate Great Crested Newts, Bats and Ancient Woodland.
The link road will relieve traffic congestion in Congleton and boost the local economy by opening up new sites for development and create new opportunities for businesses and workers.
It will create the potential for improved road connections to both Congleton Business Park and Radnor Park Trading Estate.