The £14 million extension will almost double the space at Titanic Studios, which incorporates Harland and Wolff shipyard’s former Paint Hall building.
The Department of Environment has given permission to build two new studios and other production facilities.
He said building the studios would “put Belfast on the map as one of Europe’s largest film production locations”.
Titanic Studios were set up in 2007.
Since then, Peter Robinson and Martin McGuinness have spread the good news about the the studios to trips to the USA in an effort to bring more film and production business back to east Belfast.
Those behind the Titanic Quarter project have said that the HBO series Game of Thrones is driving up demand for additional space in Belfast.
Mr Durkan said he welcomed its plans for using sustainable technology including a roof-mounted solar panel system.
“These photovoltaic roof-mounted panels convert solar radiation into electricity which reduces costs – a win-win for business and the environment,” he said.
“Developments like this are leading the way in helping Northern Ireland move towards a low carbon economy.”