The Czech enjoyed one of her best seasons this year and finished runner-up to the top-ranked Iga Swiatek at the French Open before a run to the U.S. Open semi-finals in September, where she suffered the right wrist issue.
She was set to compete in the season-ending championships in Cancun for the first time before pulling out and being replaced by Maria Sakkari.
"This isn't my favourite thing to share especially at the start of a new season, but unfortunately the pain in the wrist came back in the middle of my preparation," former Melbourne Park semi-finalist Muchova said on Instagram on Thursday.
"I therefore have to postpone the start of the season and fully heal my wrist first. It's frustrating but I have to keep positive, recover and get ready for the rest of the year."
The Australian Open takes place from January 14th to January 28th.
