yes, you can if you meet certain requirements. what you are referring to is the Homestead Property Tax Credit. you can claim this credit if all of the following apply.
- your homestead is in Michigan
- You were a resident of Michigan for at least six months during the year
- You own or are contracted to pay rent and occupy a Michigan homestead on which property taxes were levied
- if you own your home, your taxable value is 135,000 or less
- you total household resources are $50,000 or less.
See www.michigan.gov/taxes for more information.
Hope this helps.