Yes. Gambling/lottery winnings are subject to Michigan individual income tax to the extent that they are included in your adjusted gross income.
The Michigan Income Tax Act has no provision to subtract your losses on the Michigan individual income tax return. You cannot net the winnings and losses.
You may exclude the first $300 won from gambling, bingo, awards or prizes from total household resources. Include gambling/lottery winnings on the line for "Alimony and other taxable income" on theMI-1040CR,MI-1040CR-2, or MI-1040CR-7.