The 40-year-old man was taken to Glasgow Royal Infirmary on Saturday but died a short time later.
Police Scotland said that a 29-year-old man has been arrested following the incident in Glasgow which happened at around 4pm.
A spokesman said: "Further to the death of a 40-year-old man on Saturday May 3 following an incident in Springburn Shopping Centre a 29-year-old man has been arrested and is currently detained in police custody in connection with his death.
"A full report will be submitted to the Procurator Fiscal."
The man is expected to appear at Glasgow Sheriff Court on Tuesday.