The former England defender, who has been working for the Teesside club in a coaching capacity since 2017, succeeds Tony Pulis, who left at the end of the 2018-19 season.
Both players are remembered fondly at the North London outfit, with Woodgate on the books at White Hart Lane between 2008 and 2011, while Keane had two spells at Spurs between 2002-2008 and 2009-2011.
Here is what Tottenham's official Twitter account wrote about their former players, adding pictures of their League Cup triumph in 2008:
Some of the Lilywhites faithful also wished the pair all the best on the social media platform:
Delighted Robbie finally gets his move to his boyhood club.— Daily Hotspur (@Daily_Hotspur) 14 June 2019
Hope he brings them up before Lampard does with Derby (should he stay long enough)— TJ [LMcK] (@BrixtonSpurs) 14 June 2019
You’ll do for me Jonny!! That feels like a long time ago, one of my best days out supporting spurs for years.— Matt_TDITD (@TDITD23) 14 June 2019
Good luck, lads!— Alfonso Flores-Durón y Martínez (@SirPon) 14 June 2019
Boro will be eager to challenge for promotion to the Premier League next season following a 2018-19 Championship campaign in which they were in the playoff positions for much of the season only to eventually finish seventh.
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