Such buildings were championed in the 1940s as a way of addressing the UK's chronic housing shortage after the Second World War.
FastHouse completed its first project for Lagan Homes on Friday, with construction of semi-detached properties in Windrush Park, Co Antrim, taking just 15 working days.
Houses built using traditional methods can take up to 16 weeks or more. Modular construction involves bits of the building being made off-site and then being brought together.
FastHouse claimed its brick finishes made their houses virtually indistinguishable from those built traditionally.
The benefits include less waste and lower labour and material costs.
FastHouse employs 30 people in Limavady and was founded less than two years ago.
Conor Mulligan, managing director of Lagan Homes, said he believed the innovative building method could help solve the local shortage of houses.
"We are all aware of the housing crisis in Northern Ireland and we can see first-hand the contribution FastHouse has been able to make to this development at Windrush Park," he added.
"By building quality homes in an efficient way, FastHouse will significantly speed up housing provision in Northern Ireland, as well as advancing the sustainability agenda.
"For the builder, in this climate of limited bank lending, the ability to increase turnover of work in progress capital from three times a year to perhaps 10 times a year will have substantial appeal."