The developers are a joint venture between BAM Properties and TCP Developments and LGIM Real Assets (Legal & General).
Work will see construction of 284,000 sq ft of space in two buildings.
The March start date has been confirmed after HMRC agreed to lease one ten-storey block of 187,000 sq ft.
The remaining 97,000 sq ft block will be built on a speculative basis.
Dougie Peters, Managing Director of BAM Properties, said: “We are delighted to be working with LGIM and HMRC on this Grade A office development which will become one of 13 state-of-the-art regional centres for HMRC.
“Simultaneously, the BAM TCP Joint Venture is speculatively developing Building 2 at Atlantic Square because we believe there is a high level of demand in Glasgow for premium office space.
“BAM Properties has a long and successful history of knowing when the time is right for major commercial developments in Glasgow – such as 110 Queen Street and the Clarion Building and we are confident that Building 1 and Building 2 at Atlantic Square will be equally good news for Glasgow.”
Steven Boyd, HMRC Estates Director, said: “I’m delighted to confirm Atlantic Square as our 10th regional centre.
“HMRC has a significant presence in Scotland and we are pleased to grow upon this in Glasgow.
“The development will help continue HMRC’s transformation into a modern, digitally-advanced tax authority thanks to the site’s high specification office space, central and accessible location and digital infrastructure.”