Anderson left J Murphy & Sons in December where he was Chief Operating Officer.
Before joining Murphy in 2017 Anderson spent more than 15 years at Balfour Beatty where his last role was chasing work in joint venture with Vinci on HS2.
Amanda Fisher, Chief Executive of Amey, said: “We welcome the government’s plans to accelerate investment in infrastructure and skills, and Peter’s appointment signals our commitment to supporting government to deliver its ambitious infrastructure strategy.
“Peter comes with a significant track record of delivering strategic rail and highways projects both nationally and internationally, enhancing customer relationships and improving bottom line business performance.
“He will help bring together our expertise across the Transport Infrastructure division to drive an even stronger, more compelling service offering to our clients and Government.”
Anderson said: “The Prime Minister’s recent pledge to invest in infrastructure, along with the raft of measures announced by the Chancellor yesterday to help invest in young people, presents an opportunity for Amey to play a central role in supporting the UK’s recovery from the pandemic.
“I look forward to supporting our clients and the communities in which we operate to bounce back from the pandemic and build a more resilient and sustainable infrastructure network for the future.”