The US rapper, 30, is accused of attacking Mustafa Jafari, 19, after a street brawl outside a burger bar in capital Stockholm.
A$AP Rocky, real name Rakim Mayers and two members of his entourage, are said to have carried out the assault, on June 30 this year, “deliberately, together and in agreement”.
But the platinum-selling artist and the two other suspects claim they acted in self-defence and responding to harassment and provocation.
He is set to claim he only used violence “within the limits of the law”, according to reports.
“Political interference in the process is distinctly off limits”
Former Swedish PM Carl Bildt
Earlier A$AP Rocky shared two videos with his 10.7million followers on Instagram in a bid to protest his innocence.
Prosecutors allege A$AP Rocky used a weapon, suggesting the injuries were inflicted by a bottle or similar blunt object.
But defence lawyer Martin Persson told Swedish TV he would bring evidence to prove that “no bottle had been used to hit or injure anyone”.
The alleged victim, a refugee from Afghanistan, has claimed around £12,000 in damages.
A$AP Rocky faces up to two years in prison if convicted of assault.
The Grammy-nominated star has been held in custody since July 3 following the alleged attack.
His imprisonment has attracted the attention of President Donald Trump, who revealed he had spoken to the Swedish Prime Minister after fellow rapper Kanye West and wife Kim Kardashian-West demanded an intervention.
Mr Trump responded by urging Swedish authorities to “Give A$AP Rocky his freedom,” as he urged politicians to focus on the Scandinavian country’s “real crime problem”.
But Sweden hit back at the White House, insisting the independent judicial system must be allowed to do its work.
Former Swedish PM Carl Bildt angrily tweeted: “Political interference in the process is distinctly off limits. Clear?”
The trial, expected to conclude by Friday, continues.