An experienced defender, who won promotion last season, has become boss Chris Wilder's sixth summer recruit.
Former Oxford United centre-half Jake Wright, who has previously played under Wilder at Halifax Town and at the Kassam Stadium, joins the Blades on a two-year deal.
And the Blades boss is delighted to have signed a player he knows very well, sighting his leadership as a major contributory factor.
Wilder said: "This is the third time I have had Jake, I have a great insight into what he is about and I've always believed that he can play at a higher level.
"He was captain under me for a number of years; I'm looking forward to working with him again because he is a positive influence in the changing room."
Born in Keighley, Wright began his career at Bradford City before moving out on-loan to Halifax, where he first worked with Wilder.
Having made well in excess of 50 appearances at The Shay having joined permanently, Wright signed for Crawley Town.
Following a move to Brighton and Hove Albion, Wright first joined Oxford on a temporary basis linking up with Wilder for a second time, before penning a long-term deal and being appointed club captain in July 2011.
Last season, Wright was an instrumental part of the U's side that won promotion from League Two, making 36 appearances.
Wright joins John Fleck, Jack O'Connell, James Wilson, Chris Hussey and Mark Duffy as new Blades this summer.