The 23-year-old Jese is PSG's fifth signing during the close season after Hatem Ben Arfa, Grzegorz Krychowiak, Thomas Meunier and Giovani Lo Celso.
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Jese, who was signed for an undisclosed fee, scored 13 goals from 62 La Liga games.
PSG, under new coach Unai Emery, who joined from Sevilla, won the Trophy of Champions with a 4-1 win against Olympique Lyonnais last Saturday.
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"Like Paris Saint-Germain, I have big ambitions for the coming seasons and it will be a great pleasure to work under the direction of Unai Emery," Jese, who has represented Spain at youth level, told PSG's official website. "I can't wait to begin this next challenge of my career."
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