Google is your friend. ODNR, Ohio Division of Forestry, and OEPA have several informative webpages explainthe open burning laws in Ohio as well links to the specific code sections.
Outside of any local ordinances, Ohio has an open burning ban for the months of March, April, May, October & November, between the hours of 6:00 am and 6:00 pm. Anyone wanting to conduct burns during those months is required to obtain a waiver from the Ohio Division of Forestry.
Details here…
Forms and documents required for conducting prescribed fires in Ohio.
ohiodnr.gov
Can private citizens conduct their own prescribed/controlled burns? Yes. But there’s some red tape involved.
If you don’t have experience conducting controlled burns, I strongly suggest you hire a professional, or at least reach out to your local fire department or private lands biologist. Fire is a useful tool but is obviously extremely dangerous if used carelessly. Burning leaf litter in a timber stand may not seem very dangerous… but throw in low humidity, strong wind, or steep topography, and you can get your tits in a ringer real quick.