Sture Bergwall had asked for SEK 100,000 in damages for what he called the "campaign" against his murder cases being reopened, reports news agency TT.
Göran Lambertz has spoken out many times saying he thinks the convictions against Bergwall (then known as Thomas Quick) were sound. For some of that period he has himself been Chancellor of Justice.
But the current JK says Lambertz in his job as Chancellor only defended Bergwall's guilt while he was still legally guilty. Then later as a Supreme Court judge his statements were not connected to the process of re-examining the murder cases.
Courts had found Sture Berwall guilty of eight murders, in cases between 1994 and 2001. These were mainly based on his own confessions, and when he retracted them, there was not enough evidence to hold the convictions.
Göran Lambertz is currently writing a book about his own view of the legal process.