Wild has held the position of senior vice president for new business development at Wal-Mart US since August 2007, and was previously managing director of its German division.
Before joining Wal-Mart, he spent 18 years at Tesco where he headed up the company’s expansion into mainland Europe.
He succeeds previous chief executive Ian McLeod, who resigned in February to run Australian supermarket chain Coles, part of Wesfarmers.
Wild said: “I am very excited to be joining Halfords. It's a business I have known and admired from the outside for many years.
“Halfords has some very attractive market positions and exciting opportunities for continued growth as well as sound defensive qualities.
“I am delighted to be joining such a strong team and I look forward to leading the company onto further success.”
Halfords reported a 7.2% increase in sales at for the 52 weeks until the end of March, with a 4.2% growth in like-for-like sales.
It claimed this was across all categories, but identified car maintenance and cycling as its strongest areas.