Hall replaces Enel CEO Francesco Starace, who held the post for the past two years.
He said his prime objective in the new role would be to work with decision makers to increase the "pace of electrification in the transport, heating and industrial sectors".
"Powered by carbon-neutral electricity, we can lead the transition in the energy industry and other sectors," Hall added.
"This requires further investments in renewable electricity generation, as well as efficient electricity distribution.
"We also need to help citizens change towards a fossil-free life."
Hall’s new role strengthens Vattenfall’s representation in Europe’s key wind power and electricity bodies. The Swedish utility’s senior vice president of wind, Gunnar Groebler, was elected WindEurope’s chair in March 2019.
Eurelectric represents more than 3,500 companies in 32 European countries in power generation, distribution and supply.
Its main objectives are to achieve a carbon-neutral electricity mix in Europe "well before" mid-century, ensure a cost-efficient, reliable supply of electricity, and develop energy efficiency and the electrification of demand-side power to mitigate climate change.
Hall had served alongside SSE chief executive Alistair Phillips-Davies as one of Eurelectric’s two vice presidents over the last two years.
Eurelectric’s two new vice presidents are CEO of Irish energy company ESB, Patrick O’Doherty, and E.on board member Leonard Birnbaum. They were elected at Eurelectric’s annual meeting in Florence, Italy.