The 50-year-antique Smith, who turned into axed by way of Villa on November 7 after 5 successive defeats, takes over at Carrow Road on a two-and-a-1/2-yr contract, the membership said.
Smith succeeds Daniel Farke, who turned into sacked on November 6 with Norwich rooted to the lowest of the Premier League.
"It has been a whirlwind seven days, however Im surely thrilled to be back and working for Norwich City within the Premier League," stated Smith, who will be assisted in the dug-out via assistant head teach Craig Shakespeare.
"Clearly, there has been a few brilliant paintings that has gone into this football membership over closing four and a 1/2 years. It is now the job of myself and Craig to preserve and enhance on that paintings with the last purpose of surviving in the Premier League.
"Norwich City is a large membership, with a big hardcore of supporters who're completely information in what it approach to be a part of the club and its community."
Former Chelsea manager Frank Lampard was believed to were Norwich's preliminary pinnacle candidate, however the ex-England superstar pulled out of the walking once Smith emerged as a rival for the job.
Farke's spell as Norwich boss ended on the day he led them to their first league win this season, a 2-1 achievement against Brentford.
The German had overseen Norwich's promoting from the Championship remaining season, however struggled to boost the membership away from the Premier League relegation area regardless of a number of new signings.
Norwich's subsequent Premier League game is at domestic to Southampton on November 20 and Smith said he couldn't wait to get going.
"From the age of sixteen I've been running in football. I think in that time I've had four months out and didnt enjoy it," he said.
