Dupety has led the UK operation since 2014 when he was parachuted in after the previous management racked-up a £217m pre-tax loss.
Performance has turned-round since with Vinci UK back in the black posting a pre-tax profit of £10.2m in 2017.
Dupety said: “With the support of the wider VINCI group, an excellent team and the commitment of our people, we managed to turn the business around.
“The company has improved a lot, in terms of delivering its services, quality, productivity, digitalisation and creating a stronger culture and embedding better decision making.
“The business is in a good place – as a reward of our efforts, our Building division, and our Facilities management division had the best year ever in 2018. Now is a good time to make a change.”
Dupety will continue as a consultant for the company on major projects.
Jerome Stubler, the Chairman and CEO of VINCI Construction in France, will now act as CEO for the UK business.
Stubler said: “I am very pleased to take over this position and looking forward to working with a great team which has contributed to build up a much stronger company over the last few years.
“I wish to address special thanks to Bruno, who has managed the company with a very clear and focused business sense.
“We will continue to deliver our services to our customers with the same principles of excellence.”