State Route 582 passes through the northern half of Wood County and a small portion of northwestern Sandusky County along its way. No part of State Route 582 is incorporated within the National Highway System, a system of routes determined to be most important for the nation's economy, mobility and defense.
State Route 582 was established in 1940. Its original routing matches that which it utilizes to this day between State Route 65 and State Route 105 through northern Wood County and northwestern Sandusky County. State Route 582 has not experienced any significant changes since its inception.