“Rodri has proven himself to be a hugely talented, young midfielder, who has all the attributes we are looking for,” City’s director of football Txiki Begiristain told City’s website.
“He works hard defensively, makes himself available to receive the ball and uses it well when in possession. He is a perfect fit for Pep Guardiola’s team and we are confident he will be a success.”
City became the first side to claim the English treble of the league championship as well as the FA Cup and League Cup last season.
“What City have achieved in the last two years has been amazing and I’m looking forward to being part of such a talented squad,” said Rodri, who has been compared to Barcelona’s Spain midfielder Sergio Busquets.