The confirmation comes as the formal public consultation scheme for the renewable energy project gets underway this week.
Costain will coordinate and manage delivery of the Swansea Bay project.
Work will include developing and managing the schedule for pre-construction and construction phases, developing construction methodology for civil engineering works including turbine and sluice structures, access routes and complex temporary works included temporary bund for construction of turbine housing.
Darren James, Managing Director of Costain Infrastructure said: “Swansea Bay Tidal Lagoon will be the world’s first, purpose-built, tidal lagoon power plant, and will be capable of generating electricity equivalent to Swansea’s entire domestic consumption.
“Importantly, the proposed 250MW power plant will save over 200,000 tonnes of CO2 per year for its design life of over 100 years.
“This project gives Wales a significant opportunity to take the lead in the tidal industry for the UK and we look forward to working with the team to develop what will hopefully be a network of lagoons around the UK coastline.”
Ton Fijen, Technical Director for Tidal Lagoon Power said: “Detailed plans for the lagoon are now being finalised prior to beginning formal consultation on 4 July.
“Our intention, subject to design readiness, is to submit an application for development consent to the Planning Inspectorate in the late autumn of 2013.
“Announcing our partnership with these leading contractors is another step forward as we progress towards planning.”