Austrian Interior Minister Karl Nehammer said in a statement that the terrorist who was killed during the attack was heavily armed and wearing a belt wired with explosives.
"We experienced an attack yesterday evening from at least one Islamist terrorist," he said.
The minister urged Vienna residents to stay home as much as possible, following Monday's attack on the Austrian capital.
Attacks were carried out in Vienna late on Monday, at six different locations, including near a synagogue in the center of the city, according to Austrian Interior Ministry spokesperson Harald Soros.
Vienna Mayor Michael Ludwig said in the early hours of Tuesday that one man and one woman had died as a result of the Monday attacks in the Austrian capital, while over a dozen others were injured. According to Soros, the injured include one police officer.
Austrian Chancellor Sebastian Kurz and Nehammer have both called the attacks a terrorist act.