"I hope you can all understand why I have made this decision," said the Uruguayan striker.
"This club did all they could to get me to stay, but playing and living in Spain, where my wife's family live, is a lifelong dream and ambition. I believe now the timing is right."
His move to Barcelona takes Suarez closer to his wife Sofia's family.
"It is with a heavy heart that I leave Liverpool for a new life and new challenges in Spain," he said.
"Both me and my family have fallen in love with this club (Liverpool) and with the city, but most of all I have fallen in love with the incredible fans.
"You have always supported me and we, as a family, will never forget it, we will always be Liverpool supporters."
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