The 32-year-old former England and Liverpool striker had been out of the game since March 2020, when he received a four-month suspension for violating the FA's gambling rules.
Sturridge spent the summer training with Real Mallorca, and Perth Glory have now signed the Champions League and Premier League winner for the A-League season 2021-22.
"It's a fantastic opportunity to try a new challenge," Sturridge said.
"When the opportunity came about, it felt like the right thing to do, to take my talent somewhere where I can enjoy my football in a competitive league and try and help the team be as successful as they possibly can be.
"I'm going to put my best foot forward, work hard and try and help the team win each game that comes by and then we'll see where we end up when the season finishes.
"I can't wait to play at HBF Park and hopefully put a smile on a lot of faces."
The sensational @DanielSturridge signing - get all the details here: https://t.co/4P7b0VknBe@aleaguemen #OneGlory pic.twitter.com/DrnsUED74p
— Perth Glory FC (@PerthGloryFC) October 1, 2021
Source: transfermarketweb.com