The incident occurred Tuesday evening about 30 minutes before an ABBA tribute concert was due to begin at 7.30 p.m. local time, the spokesman said.
About 1,000 people had gathered at the Uppsala Konsert and Kongress in Uppsala city, about 70 kilometers (43 miles) north of the capital, Stockholm, for the concert, according to police.
Shortly before the concert began, a man in his 80s fell from the seventh floor and landed on two others — a man and a woman in their 60s — in the open foyer on the ground floor, police said.
The two men died and the injured woman was taken to a hospital. She sustained non-life-threatening injuries, according to police.
Police are investigating what exactly happened and why the person fell, the spokesman said.
The three victims have not yet been named by police.