Britspace went under last summer with the loss of 200 jobs after administrators failed to find a buyer for the firm.
The deal will also see a number of key former Britspace staff join Premier Interlink.
The firm, which is part of the Waco Group, said: “The intellectual property rights of Britspace, including the design rights to Britspace products, along with several key Britspace personnel, have been acquired by Premier Interlink (Waco UK) Ltd, enabling us to offer an even wider range of modular solutions and to continue the successful heritage of building projects undertaken by Britspace over recent years.”