The arena will be known as the SSE Arena, Wembley as of 1 June. The partnership will see a significant investment in refurbishment of services.
The arena, including its foyer and concourses, will be upgraded and new customer lounges will be branded with SSE's name and logo.
US live music company AEG took over the running of the venue last year, and the partnership between AEG and SSE was brokered by AEG Global Partnerships.
It will allow SSE customers to access music and entertainment across the country as part of the SSE Reward Scheme, which includes advanced ticket access and upgrades into customer lounges at partner venues.
Will Morris, SSE’s group managing director, retail, said: "We stand out in the market place as the only energy company able to give its customers early access to some of the most in-demand events in the UK.
"We know entertainment is a key driver for our customers so it makes sense for us to build on our established sponsorship of The SSE Hydro and ensure more customers can take advantage of the great benefits ssereward.com has to offer."
Earlier this year Wembley Stadium, which is located next to the area, signed a six year deal with EE to make the mobile brand its first lead partner.