Together the sites will provide around 400 homes, subject to planning permission.
Most of the homes will be for market sale while a portion will be sold to local authorities and housing associations, to be part of their social housing schemes.
BoKlok homes are completed using modern methods of construction.
The completed homes are manufactured off-site and will feature IKEA fittings. They are then transported to the construction site for assembly.
BoKlok President, Jonas Spangenberg said: “We are delighted to meet this first milestone for our UK business.
“We are grateful to our partners and the local authorities we are working with who have been supportive in sharing our vision of sustainable, quality, low cost homes for all.”
The first developments are expected to complete in 2021.