Unfortunately, spouses or de facto partners do not have the automatic right to Australian citizenship although thoughts to the contrary are common.

To apply for Australian citizenship you must meet the normal requirements to other adult applicants, including residence requirements.   The residence requirements are if you became a permanent resident:

• before 1 July 2007 you must have lived in Australia as a permanent resident for:
  
  
  • Two years in the last five years; AND
     
  • 12 months in the last two years.
     
• AFTER 1 July 2007 you should have four years lawful residence in Australia, which may include:
  
  
  • Up to three years temporary residence and the last 12 months as a permanent resident (with not more than a total of 90 days outside Australia) in the 12 month permanent residence period.

Some exceptions to the above residence requirements exist where you can count some time overseas as time in Australia.  Additionally there is also discretion applying to surviving spouses and interdependent partners of Australian citizens

We would suggest you make an appointment to quantify your residence period or to find out whether any exceptions apply to you, before you proceed with an application.