According to ESPN.com's William Weinbaum, Idelson told ESPN's Outside the Lines that the Hall reviewed Rose's case after he sent a letter requesting eligibility.
The Hall of Fame released the following statement regarding its decision:
"After extensive discussion, a vote was taken in which the Board ratified the resolution that was passed on February 4, 1991, known today as Rule 3(E) in the BBWAA's election rules. As such, anyone deemed permanently ineligible by Major League Baseball, including Pete Rose, may not be considered for election to the Baseball Hall of Fame."
Rose received a lifetime ban from Major League Baseball in 1989 for betting on baseball while managing the Cincinnati Reds.
Most recently, Rose was denied reinstatement by MLB Commissioner Rob Manfred in 2015.
Rose has 4,256 career hits to his credit, which is 67 more than second-place Ty Cobb.
In 24 MLB seasons with the Reds, Philadelphia Phillies and Montreal Expos, Rose was a 17-time All-Star, three-time World Series champion, three-time batting champion and a National League MVP.