The voting process is simple: like their image on the GAA's official Instagram page.
Voting will close at 10am on Tuesday June 11 and the winner will be announced on GAA.ie.
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TJ Reid (Kilkenny)
TJ Reid was at his brilliant best for Kilkenny in Sunday's Leinster SHC thriller between Kilkenny and Galway at Nowlan Park.
The Ballyhale Shamrocks attacker struck 2-11, including 2-4 from play, but it still wasn't enough to deny the visitors.
Cathal Mannion (Galway)
Cathal Mannion drilled eight points - seven from play - as Galway defeated Kilkenny in an absorbing encounter.
The splendid Mannion also crafted a first half goal for Conor Whelan as Galway enjoyed a fine victory.
Aaron Gillane (Limerick)
Aaron Gillane showed his class as Limerick cruised to a surprisingly emphatic win over Clare.
The prolific Gillane registered 1-11 for John Kiely's outfit, who now face Tipperary at Semple Stadium next Sunday.
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Players of the Week are decided based on votes cast by followers of the Official GAA Instagram page.