"It has always been a dream for me to play in the Premier League and now I have a big opportunity to do that for West Ham," the 25-year-old Nordtveit, who was an academy graduate at London rivals Arsenal, told the club's website (www.whufc.com).
"I'm looking forward to showing what I can do, but hopefully I have something to help West Ham achieve even more."
Slaven Bilic's men finished seventh in the league after Sunday's 2-1 defeat by Stoke City at the Britannia Stadium.
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(Reporting by Nivedita Shankar in Bengaluru; editing by Sudipto Ganguly)
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