The main beneficiary is the Royal Edinburgh Hospital Campus with a further £120m to complete its redevelopment.
Galliford Try, through its Morrison Construction arm, started working on the £48m first phase earlier this year.
The health investment will be secured through a £1bn extension to the Scottish Non Profit Distributing programme, which now extends through to 2019-20.
NPD caps private sector returns, with any project surplus directed in favour of the public sector.
Earmarked community health projects will be delivered as design, build, finance and maintain projects through the Scottish Futures Trust hub initiative.
£409m package health investment
- £90m to develop Aberdeen Women’s Hospital
- £20m for the new Aberdeen Cancer Centre
- £65m East Lothian Community Hospital
- £20m community health projects in Highland including Skye, Lochalsh, south west Ross-shire and in Badenoch and Strathspey
- £19m for primary care in NHS Greater Glasgow and Clyde
- £19m primary care projects in Grampian including Newmachar, Balmedie Blackburn and Elsick
Sturgeon said: “Today’s announcement demonstrates that, despite the massive cuts to Scotland’s capital budget from Westminster, the Scottish Government will continue to deliver substantial investment in the infrastructure of the NHS through use of the innovative NPD model and the Hub programme.
“Infrastructure investment is also fundamental to delivering sustainable economic growth. It supports our construction industry and helps attract business activity to our communities.
“That is why we recently announced, as part of the draft budget, a £1bn extension to the NPD pipeline to 2019-20.”
Barry White, chief executive of the Scottish Futures Trust, said: “The SFT-managed £3.5bn NPD programme stands as one of the largest infrastructure investment programme of its type across Europe.”