Lenglet, 23, agreed personal terms on a five-year deal with Barca last week before telling Sevilla of his intention to join the La Liga champions.
But Sevilla held firm, with director of football Caparros and president Jose Castro insisting on numerous occasions they were unwilling to negotiate with Barca, telling them to pay the release clause or forget about Lenglet.
Lenglet becomes Barcelona's second acquisition after Brazilian star, Arthur, arrived from Gremio for €40m on Monday.
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Lenglet's buy out clause at Barca will be valued at €300m.
Lenglet made 73 appearances in all competitions across one-and-a-half seasons with Sevilla after joining from French club AS Nancy in January 2017.
The deal means Barca now have five centre-backs on the books in Gerard Pique, Samuel Umtiti, Yerry Mina and Thomas Vermaelen.
Manchester United were also credited with an interest in the defender but Barca's long-standing interest and the efforts of previous sporting director Robert Fernandez helped swing the deal in the Blaugrana's favour.