The 56km proposed connection will run between Bridgwater, Somerset and Seabank, near Avonmouth.
It includes more than 8km of underground cable through and either side of the Mendip Hills and over 47km of overhead line carried on 141 pylons.
Plans also include 109 T-pylons standing at about 35m and 32 steel lattice pylons at around 47m.
National Grid senior project manager Peter Bryant said the application has been submitted after five years of consultation with public and stakeholders which has helped to shape the proposal.
"Their views have made a huge contribution, including helping to inspire an international pylon design competition and the proposal to place five miles of the connection underground through the Mendips," Bryant said.
"And, although the new pylons would be bigger than the existing ones, overall there would be 100 fewer pylons than there currently are in the landscape."
