Construction is expected to start in autumn 2020 subject to planning permission,
Bristol City Council owns the Airport Road site which will contain 140 homes for market sale with the remainder for social rent and shared ownership.
BoKlok has developed about 12,000 homes across the Nordics.
Jonas Spangenberg, CEO of BoKlok, said: “When we entered the UK market we pinpointed Bristol as a key city, and now we are excited to move ahead with the plans for Airport Road.
“We are here to stay for the long-term, making it possible for more people with average incomes to realise their dream of owning their home.”
Gregor Craig, President and CEO, Skanska UK said: “Skanska’s purpose is to build for a better society and BoKlok will broaden our offer in the UK with sustainable, quality homes at a low cost.
“Skanska has been actively involved in Bristol for many years, building or re-furbishing over 50 schools in the area. So, I am delighted that these plans for BoKlok would extend our association with the city.”