The 24 year-old, who joined the Canaries for an undisclosed fee, is manager Chris Hughton’s third summer signing, following Jacob Butterfield and Steven Whittaker.
Hughton added: “He is a player I have admired for a number of years now and he’s at a good age at 24, with some excellent experience from his time with Leeds.
“He’s also got that international experience with Scotland and is used to playing in big matches both with his country and at Elland Road.”
Snodgrass made 193 appearances during his four-year spell with Leeds, scoring 41 goals.
He also has five caps for Scotland and Hughton is confident he will be a success in the Premier League.
“Robert is an excellent addition to the squad and I’m delighted to add a player of his calibre to the team,” he said.
“He had a good goal-scoring record with Leeds and knows a few of the lads from his time at Elland Road and with Scotland.
“I’m sure, like Jacob Butterfield and Steven Whittaker, it won’t take him long to settle in.”
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