The 28-year-old, who played for his country at the 2012 European Championship, signed a three-year contract after moving to Turf Moor for an undisclosed fee.
"I've had eight years at Wolves and I was on loan at Brighton last year but to start a new chapter in my career is great," Ward told the club website.
"I don't think I could have picked a better place than Turf Moor and obviously to come to the Premier League is a massive pull as well."
Burnley host Chelsea in their opening league game of the season on Monday.
(Reporting by Tom Hayward, editing by Tony Jimenez)
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