Approximately 80p a year will be added to all energy bills to fund the discount scheme.
Most households that qualify will receive the discount automatically on their electricity bill every six months although some, such as those on commercial meters, may need to apply.
The first payments will start early next year, when eligible customers will receive more information from their supplier or the energy regulator Ofgem.
An assessment earlier this year estimated that between 120,000 and 160,000 households could eventually receive the discounts as more projects are rolled out.
Rural campaign groups argue it is impossible to put a price on the loss of landscapes, and some residents living close to proposed projects say the money being offered is an insult.
Kate Matthews of the Save Our Mearns campaign group, fighting plans for upgraded pylons in north-east Scotland including the Kintore to Tealing project, said the discount scheme was an insult.
She said: “£2,500 off electricity bills over 10 years is a slap in the face for residents facing ruined businesses and unsellable homes.
“This government is either massively out of touch or is showing their contempt for affected residents and energy consumers.”