Tait, who went unsold in auctions held in February for IPL teams, joins a long list of Australian players taking part in the latest edition of the cash-rich league.
Kolkata chief executive Venky Mysore wrote on Twitter and welcomed the former Australian international.
Pleasure to welcome @shaun_tait32 to @KKRiders family. Welcome Taity! pic.twitter.com/Us4NV3Blm1
— Venky Mysore (@VenkyMysore) May 11, 2016
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The 33-year-old speedster will join fellow Australians Chris Lynn and Brad Hogg at KKR, which is in a strong position to qualify for the playoffs.
Tait is set for a second IPL stint after previously representing the former Rajasthan Royals, where he picked up 23 wickets at an average of 27.82 in 21 matches.
Tait, who quit one-day internationals in 2011, has made a mark on Twenty20 cricket with an impressive performance in Australia's Big Bash league.
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He is known for bowling the second-fastest ball in cricket history, which clocked 161.1 kilometres per hour (100.1 miles per hour), in an ODI against England at Lord's in 2010.
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