“It is our brother, mujahid Taimour Abdel Wahab, who carried out the martyrdom operation in Stockholm,” said the website Shumukh al-Islam, which published a photograph of a man in dark glasses and Western clothes.
The man also has a light beard and was pictured standing with his hands in his pockets with a green valley in the background.
Twin blasts rocked a shopping street in central Stockholm on Saturday, killing a man suspected of being the bomber, and wounding two others.
The website did not give any other details about the alleged bomber, such as his age or possible affiliation with any extremist group. It also did not say where the photograph was taken.
The attacks were labeled a “terrorist crime” on Sunday by Sweden’s chief prosecutor.
Asked about the Al-Qaeda-linked website’s claim to identify the attacker, Säpo spokeswoman Carolina Ekeus said: “We don’t make any comment about the identity of the person that was found dead.”
The same photo published on the website was published in Swedish newspaper Expressen on Sunday with the face blurred.
Two people were also injured in the blasts. If it is confirmed as a suicide attack, it would be the first in Sweden.