"The bridge is open again," Stephan Söderholm from Skåne police told The Local at 10.30am.
"There were two large accidents and one smaller one," he added, noting that there is currently no information about a possible cause as the first priority was to assist the injured and secure the bridge.
By 11am Skåne police said that 14 people had been taken to hospitals in both Sweden and Denmark.
Some of them are said to be seriously injured, however it is not clear how many.
Emergency services were called to the scene shortly before 7.45am.
Both Swedish and Danish police are involved in assisting emergency services.
The 7.8 kilometre bridge connecting Copenhagen and Malmö was built in 2000 and became internationally famous in Nordic Noir series 'The Bridge'. Around 7,424,000 cars drove across the bridge in 2016.