Expo journalist Alexander Bengtsson and TV4 reporter Lena Sundström were also targeted.
SVT showed one example of the false twitter posts.
"Do you want a job as an editorial writer on Aftonbladet? Unfortunately, we employ only ethnic white Swedes and hypocrites."
Several other messages were of a more overtly racist nature.
In response to the false tweets, Aftonbladet editor Jan Helin told SVT;
"Twitter is a fantastic medium which gives a mass of possibilities, but there's a dark backside when it is abused like this."