Carier produced the main components for the embassy at its factory in Braintree, Essex.
Twenty-nine units are to be constructed, including office, residential and recreational accommodation.
They are made from a light pressed steel framework, to which cladding, insulation, plasterboard and floorboards are attached.
Each of the units measures 3 m by 6 m and has a minimum headroom of 2.3 m. The temporary accommodation cost £500,000 to develop and has a shelf life of up to five years.
Work on the embassy is expected to finish in mid-September after a 12-week production cycle.
Carier, a private company with 150 staff, has traditionally concentrated on providing bulk material handling equipment for the agricultural market. The decision to enter the prefabricated construction market is a new departure for the firm.