Some underwater wells have been abandoned in the wake of the leak and the company is planing to drill in new fields in the region to increase its production levels.
Yves-Louis Darricarrere, president of Total Upstream, said: "Managing this industrial incident securely for our personnel and with limited impact on the environment was our priority.
"The causes of the incident are now known and all necessary measures have been taken to enable us to resume production and carry out future exploitation of the fields from the Elgin/Franklin area in the best safety conditions.
"Lessons learnt have been shared with the UK authorities and will also be shared with the wider industry. We now focus on continuing our development plans to bring back the full potential from these fields."
The leak caused Total to miss out on around £83 million of potential income, according to its financial results for the second quarter of 2012. The company still made a profit of £1.25 billion in that period.