كتب : Omar AbdelAziz
The Paraguay forward signed a four-year deal for an undisclosed fee after he had passed a medical at the Eastlands.
Santa Cruz will reunite with former Rovers boss Mark Hughes, who has been keen to bring in the 26-year-old since the end of last season.
The ex-Bayern Munich hitman scored 23 goals in his first season at Ewood Park, but his campaign was hampered by injuries last term.