Department of Natural Resources Cpl. Blaine Gillan says the animal's shooting was reported Thursday in Montgomery County.
A single gunshot wound to the abdomen was fatal to the 29-pound bobcat.
Bobcats are protected under state law. Gillan said a special license is required to shoot a bobcat, and only if it is a nuisance, or for scientific purposes.
Gillan says he hadn't received any reports of nuisance bobcats in the area.
Anyone with information about the shooting is asked to contact the DNR at 1-800-TIP-IDNR or www.in.gov/dnr.
A cash reward is offered and callers can remain anonymous.