Renamed ‘Ysgol Cynefin’, the £23m extra needs schools will be located in Fairwater and in Llanrumney, each accommodating 36 key stage two pupils.
One is to be located on land to the south of Fairwater Primary School on Wellwright Road, the other will be south of Pen Y Bryn Primary School at Dunster Road in Llanrumney.
The co-location of the new school with mainstream primary schools will also provide investment to the neighbouring schools.
Both sites will boast a range of comprehensive facilities including multi-use games areas, sports and soft play areas, sports pitches and horticultural areas.
A spokesperson for Cardiff Council said: “Cardiff is currently embarking on a revolutionary transformation of additional learning needs provision and the new Ysgol Cynefinis part of these significant plans, to address the shortfall in places required across the city.
“By relocating and rebuilding Ysgol Cynefin over two sites, improvements can be made to the standard of facilities whilst providing more places for children in need of specialist provision.”
Jason Taylor, regional director at Kier Western & Wales, said: “We are thrilled to be named as preferred bidder for The Court, and to continuing our relationship with Cardiff Council having delivered the flagship Fitzalan High School last year.”