The 27 year old, who is thought to have cost the Premier League runners up £20m, scored 25 goals in La Liga last season, and becomes the club’s third new signing of the summer following the arrivals of Brazilian midfielder Fernandinho and Spainish winger Jesus Navas, a former teammate of Negredo.
The striker will join up with the rest of the City squad for their on-going pre-season tour of South Africa.
He began his career at Rayo Vallecano, before moving to Real Madrid in 2005, though he never made a competitive first team appearance; eventually rising to prominence at Almeria, where he scored 32 goals in 70 appearances.
A move to Sevilla followed, where Negredo’s goal return was just short of one every two league games over four years.
City are also expected to complete the signing of Fiorentina striker Stevan Jovetic, subject to a medical.