"Most people say at least once in their life that they couldn't take someone else's life, but once you have done it, it is no big deal anymore," Jonsson wrote according to daily Aftonbladet.
The relatives of his victim Helle Christensen, a 40-year-old mother of five, are appalled that Jonsson is allowed to blog.
“It makes me so angry that I don't know how to put words on how I feel. It hurts so much and I feel as if I am boiling over inside,” his victim's sister told local newspaper Borås Tidning (BT).
Jonsson, or ”the Skara Cannibal” was convicted in March 2011 of the gruesome killing of his then girlfriend Christensen. After stabbing her to death with a knife, Jonsson cut off her head and other parts of her body.
Jonsson phoned and alerted the police himself, according to Aftonbladet, and when officers arrived at the flat they were shocked to see that Jonsson had seasoned, fried and eaten part of his victim.
However, after meeting a new love behind bars at the Karsuddens psychiatric facility near Katrineholm in eastern Sweden, Jonsson has told the press that he really had felt no compunction to eat his ex-girlfriend but only did so to seem sick and get psychiatric treatment instead of jail time.
This is also a subject which features in his blog.
“I can be convicted but not punished with anything else than continued treatment. Don't people understand that this is just a game and only the beginning? Don't they realize I consciously made sure I got here,” he wrote in his blog according to Aftonbladet.
In January, Jonsson and his new girlfriend Michelle Gustafsson, she herself convicted of murdering a father of four in Stockholm in 2010 and publishing pictures of herself as a vampire with a bloodied mouth, on her personal blog, went public with their love.
Being inmates at the same facility, the unlikely couple found each other and spent a lot of time on an internet chat room.
All inmates at the facility are allowed internet access and mobile phones as long as they are not committing any criminal acts, according to Aftonbladet.
“With rules like this it feels as if society is allowing me and other relatives crime victims to be insulted," said Christensen's sister to BT.