Under the terms of the deal, CGN will acquire 33.5% stake in the power plant by investing €6bn through its new company, known as General Nuclear International (GNI).
The remaining stake will be owned by EDF, which is also considering another investors for the project but retaining majority stake.
UK Energy Secretary Amber Rudd said: "The Government will support new nuclear power stations as we move to a low-carbon future."
The two firms also agreed the heads of terms for the joint development of nuclear power plants at Sizewell in Suffolk and Bradwell in Essex.
EDF said that the deal terms will be finalized prior to announcing the final investment decision for Hinkley Point C which is scheduled within weeks.
EDF Energy CEO Vincent de Rivaz said: "Hinkley Point C and successive nuclear projects will guarantee the UK the reliable, secure low carbon electricity it needs in the future."
Final terms have also been agreed for the project contracts with a number of its key suppliers including Areva NP for nuclear steam supply system, instrumentation and control; Alstom France for turbines; Alstom UK for services during operations; Bouygues TP/Laing O’Rourke for main civil works as well as BAM Nuttal/Kier Infrastructure for earthworks.
Designed to meet approximately 7% of the UK’s electricity needs, the Hinkley Point C project is expected to create up to 25,000 jobs and would power about six million homes.
Image: Illustration of Hinkley Point C nuclear power plant. Photo: © EDF Energy 2014