Energy network operator National Grid is seeking a development consent order, under the Planning Act 2008 regime for major infrastructure, for a second connection to the proposed Wylfa Newydd nuclear power station.
The proposals comprise a line of pylons running largely in parallel with an existing power line from Wylfa in Anglesey to Pentir in North Gwynedd. The existing nuclear plant on the site closed in 2015.
The Planning Inspectorate accepted plans for the new nuclear power station at the site in June.
PINS will now assess the power line proposal and make a recommendation to the secretary of state on whether it should be given consent.
If permission is granted, construction of the line is expected to start in the early 2020s.