The Conservative minister beat five other candidates to the post, which included Jack Brereton, Jackie Doyle-Price, Katherine Fletcher, Chris Loder and Karl McCartney.
His appointment was announced by deputy speaker of the house Dame Eleanor Laing on Wednesday (16 November).
The Milton Keynes South MP said: "I am delighted to have been entrusted by the House to chair this vital committee and thank all who supported me.
"I have a real passion for, and experience in, transport issues and I am very much looking forward to working with colleagues on the committee to complete the existing programme of work and establish fresh inquiries.