The mother and child survived the 12 metre fall but remain in intensive care, according to a report in the Aftonbladet daily.
“The medical situation for the woman and child is that they are in intensive care and we have not been able to hold any interviews with her,” said Kjell Lindgren at Stockholm police to the newspaper.
The incident occurred on Saturday morning at around 9am by Slussen – a busy road and public transport junction in central Stockholm.
According to a witness report the woman stood for a while on the bridge before leaping over the railing onto the road below.
“I looked at her and she looked back. Then I kept going. When I was 100 metres away I turned and then she was gone,” the witness told Aftonbladet.
Police have classified the apparent suicide attempt as attempted murder.
According to the police there are no further people suspected of involvement in the incident.
“As I see it this is a family tragedy when something like this occurs… that both survive is the most important thing,” Kjell Lindgren said.