The new 210,000 sq ft building at Arena Central will house around 1,000 bank staff.
A deal is expected to be finalised this week ahead of a reserved matters application for the new building being submitted.
Development of the site is anticipated to start by June 2015.
Antonio Simoes, Chief Executive Officer of HSBC UK, said: “We have been looking at options for the head office of our ring-fenced bank for some time.
“It became clear to us that Birmingham would be the right location.
“The city is close to London, but also brings us within easy reach of our 16 million customers based across the UK.
“Birmingham is a vibrant, growing city that has the expertise and infrastructure to support our ring-fenced bank and brings us a step closer to our ambition of being the bank of choice in the UK.”
The Arena Central site is being developed by Miller Developments who will lease the building to HSBC.
Chief Executive Phil Miller said: “HSBC’s commitment to Birmingham is great news for the city and their choice of 2 Arena Central is a tremendous boost for the development.
“This will enable us to push ahead with realising the full scale of the scheme and deliver HSBC’s requirements and our vision for this key site in the heart of the Enterprise Zone.”