Allardyce was confirmed as Roy Hodgson’s successor with the national team on Friday, leaving a Premier League vacancy at the Stadium of Light.
A statement published on Sunderland’s official website on Saturday morning revealed Moyes, 53, has arrived on Wearside on a four-year contract as chairman Ellis Short’s “first choice” to take control of the Black Cats.
“I am delighted to have joined Sunderland,” Moyes said on www.safc.com. “I am relishing the challenge and excited by the opportunity.