He and two of his entourage have pleaded not guilty to assaulting a 19-year-old man in Stockholm in June.
Over the past week, a court has heard evidence and testimonies about the brawl, which led to ASAP Rocky's detention in the country.
The rapper has said he and two other men - Bladimir Corniel and David Rispers - were acting in self-defense.
In court on Friday, the prosecution said ASAP Rocky and his companions had "every possibility" to leave the scene and that they were not in a position where they needed to use "self-defense".
During his summing up, prosecution Daniel Suneson told the Stockholm District Court the rapper should be jailed for about six months.
ASAP Rocky's defense lawyer argued the incident was not a premeditated group assault and the rapper should be set free.
The rapper did not deny he is holding a glass bottle in his hand - but says he picked it up briefly before putting it back down.
The man, who is not being named by media, has claimed damages of roughly £12,000 (139,700 Swedish Krona).
During his evidence, he told the court he was looking for a friend and first approached the rapper and his entourage to ask "if they knew where his mate was".
When asked by ASAP Rocky's lawyer if he knew the rapper was famous he said: "Honestly not."