The first place I thought I'd look was the DHS website in Michigan. They have a "handbook" that goes with their food benefits - but as you flip through the pamphlet there is no mention of coupons.
From what I've been able to find in most of the boards it varies from state to state and there really isn't a clear answer. That is until I came upon an article on a blog from this January from Monroe County.
"Hint: it is in your best interest to use sales, coupons, cook-from-scratch tactics, shopper loyalty cards and rebates as much as possible to stretch the food stamp funds. There are too many food stamp families who run out of groceries before they run out of month.
And even though the food stamp allocation arrives once a month, try to split it up so your shopping for the month is not all done the same week. There will be grocery sales on different items the third week of the month as compared to what is on sale the first week of the month."
The blog also has great tips for starting beginners to couponing and tips for people who are on food assistance and can't afford newspapers.
If you or someone you know is on is on food benefits in Michigan, and wants to start couponing or has other questions have them check out this page.
While this varies from state to state, it appears you should be able to use coupons with food benefits in Michigan. Remember couponing is not a "rich persons game" like previously thought - everyone should take advantage of their chance to save money and stretch their dollar the furthest they can.
If you question if you can use your food benefits with coupons - check with your case worker, ask a manager at the local store or give it a shot with one item at the store.