Several people were injured, but according to Stockholm police, none of them required hospital treatment.
Police were called to the scene at around 2pm after a group of around 20 young people began brawling in an ICA supermarket.
Nazi sympathisers were congregating throughout the afternoon for a demonstration and ceremony at the Norra cemetery in Solna. As a group of the right-wing activists were on their way there, the groups clashed.
Police said that nobody was arrested following the fight.
Around 20 police units were in attendance at the demonstration, which began at 3pm.