Authorities say the driver of the car was arrested.
Regional government spokesperson Matthias Schuppe and city spokesperson Michael Reif said they suspected it was a deliberate act.
Magdeburg’s University Hospital said it was taking care of 10 to 20 patients but was preparing for more, dpa reported.
The sounds of sirens from first responders clashed with the market’s holiday decorations, including ornaments, stars and leafy garland festooning the vendors’ booths.
Debris could be seen on the ground in footage of a cordoned-off part of the market.
“This is a terrible event, particularly now in the days before Christmas," Saxony-Anhalt governor Reiner Haseloff said. Haseloff told dpa that he was on his way to Magdeburg but couldn’t immediately give any information on victims or what was behind the incident.
Chancellor OIaf Scholz posted on X: “My thoughts are with the victims and their relatives. We stand beside them and beside the people of Magdeburg.”
Magdeburg, which is west of Berlin, is the state capital of Saxony-Anhalt and has about 240,000 residents.
The suspected attack came eight years after an attack on a Christmas market in Berlin. On Dec. 19, 2016, an Islamic terrorist plowed through a crowded Christmas with a truck, killing 13 people and injuring dozens more. The attacker was killed days later in a shootout in Italy.