The 30-year-old has signed a two-year contract with the club that Liverpool legend Robbie Fowler left earlier this week.
“I’m thrilled to be heading to Perth,” Miller said from Scotland.
“I have heard a lot of wonderful things about the city of Perth but football is the most important thing.”
“I’m delighted to have Liam on board, “Perth Glory Coach Ian Ferguson said. “He is a quality player.
“Liam brings a lot of experience to the club and he’s played at a number of top clubs.
“It’s great to have a player of Liam’s calibre at Perth Glory.
“Liam is a midfielder who gets forward and he’ll help us become a more attacking team than last season,” Ferguson added.