Moore has three international caps for Jamaica and has made 72 appearances for Barnsley over the past two Championship campaigns.
He was
also awarded Derby County's Player of the Season Award in 2008 after the clubs season in the Premier League.
Brewers boss Paul Peschisolido said, 'I am absolutely delighted to have signed him. His attitude is superb. I've worked with him before and I know he is a player who will help this Club progress. He has a winning mentality and is definitely not somebody who will get bullied.
'He is the kind of player who is infectious. His attitude will rub off on other players and make the whole team better'