In a letter to Swedish Television's culture department, Bergwall, once known as Thomas Quick, asked the former director of the Public Prosecution Authority, Christer van der Kwast, and former Chancellor of Justice Göran Lambertz to drop their projects.
Both are writing their own book on the infamous case and have been critical of Bergwall's acquittal and release.
Sture Bergwall has falsely confessed to over 30 murders, but was later acquitted on all charges after further investigations.
The prominent legal figures involved in the case still insist their case and decision against Bergwall was sound.
"I wonder when there will be an end to the persecution?" Bergwall wrote to public service television SVT broadcaster. "My case is not about opinions, it's about facts."
Van der Kwast's book is due out in January.
Bergwall was confined to the Säter psychiatric hospital for the criminally insane since the 1990s, when he confessed to a series of murders and became falsely known as Sweden's worst serial killer.
He was convicted of eight murders, but later revealed his confessions were faked. After withdrawing his confessions the cases were re-opened and Bergwall was cleared of all charges.