The Lexington Herald-Leader reports a judge unsealed the records Tuesday at the newspaper's request.
An affidavit states there's no indication that the candidates were aware of the scheme.
The records show Beshear received at least three $1,000 donations and Conway received at least two $1,000 donations.
Court documents indicate the money came from a scheme Longmeyer had with Lexington-based MC Squared Consulting, which gave him kickbacks in exchange for help securing contracts with two insurers. The company's owner has not been charged and his listed phone numbers are disconnected.
Information from: Lexington Herald-Leader, http://www.kentucky.com