Police were called to Windrush Square in Brixton on July 3 at around 6:09am, where the exhibition had opened earlier in June 22.
Some of the 20 exhibits had been vandalised, and police launched an investigation.
Yesterday (July 5) police arrested a 24-year-old man on suspicion of vandalism, he currently remains in police custody.
The force said that based on enquiries conducted “so far”, the incident is not being treated as a hate crime.
The force added that further enquiries will take place to establish the circumstances of the vandalism.
Superintendent Gabriel Cameron, who leads policing in Brixton, said: “We understand that those in the community will feel distressed about vandalism to the Windrush exhibition in Brixton.
“We believe that this was not a hate crime, and I want to reassure anyone with concerns, that a man has now been arrested.
“Local neighbourhood officers have been in contact with the organiser of the exhibition, and remain in the area to respond to any questions or worries that people may have.”