The man, who denies the charges, risks life imprisonment.
He is suspected of aiding Taimour Abdulwahab, an Iraqi-born Swede, who was the only fatality of the twin blasts in Drottninggatan, central Stockholm, on December 12, 2010.
According to the Aftonbladet newspaper, Menni helped finance the attack, partly due to claiming benefits through eight of his different aliases.
The man, who studied in the English town of Luton, was arrested under the name of Ahmed al-Khaledi, which has since been formally changed in legal documents a number of times, with courts recently settling on Nazzedine Menni.
Neighbours had described him as a “neat” 30-year-old family man from Kuwait, who lived with his wife and three children, wrote the paper.
Abdulwahab had tried to call Menni several times on the day of the attack, however did not succeed in reaching him. It is alleged the pair planned the attack for eight years.
Aftonbladet reports that Menni had deleted contact details and private photographs of Abdulwahab from his phone during a pause in the police interrogation.
Despite it being 18-months since the attack, and five countries being somehow related to the incident, Menni and the bomber himself are still the only two people suspected of any crime.
The 12 week trial, which begins on Monday, has 250 possible witnesses to be called upon, according to TT news agency.