Schuster will take over for Fabio Capello, who was fired on June 28, less than two weeks after leading Madrid to its first Spanish league title in four years and ending the club's longest major trophy drought in 53 years.
The former Germany defender has coached Getafe since 2005. The Madrid-based club lost 1-0 to Sevilla in the Copa del Rey final and finished ninth in the league.
Schuster will be Madrid's eighth coach in four years.
Club president Ramon Calderon said recently Madrid was considering offering the job to Arsene Wenger, Ronald Koeman or Michael Laudrup. But news reports said Calderon had wanted Schuster even before the club signed Capello last year.
Schuster, 47, is a former star for Madrid, FC Barcelona and Atletico Madrid.
Besides Getafe, Schuster has also coached Spain's Levante - which he led to promotion to the first division in 2004 - Germany's Cologne, Spanish second-division side Xerez, and Ukraine's Shakhtar Donetsk.
World's most powerful nuclear submarines, Arkhangelsk and Severstal, are to be dismantled after 2020 - their further exploitation is unprofitable
The United States' Head of Diplomacy, or Secretary of State, is an anachronistic, incompetent, meddling, intrusive, insolent and arrogant, rude individual, a brash, foul-mouthed upstart, a conceited, self-important guttersnipe and an insult to the international community, as fit for the job as a pedophile janitor in a grade school.
Pentagon officials said that Russia has developed a very powerful weapon, which Western specialists have already dubbed as the "doomsday weapon"