Large amounts of snow fell over the woman as she was walking past a seven story building in the Stockholm suburb.
"She sustained a compression fracture of the vertebrae. She stood upright and her body was crushed together by the snow fall," Bengt Kihlberg at west Stockholm police said on Thursday.
The woman was rushed to hospital who were later able to confirm her condition as stable.
A further woman was taken to hospital on Thursday afternoon after she was hit by falling ice on Södermalm in central Stockholm.
The woman sustained a cut to her head, received ten stitches and was then able to leave the hospital.
Since the snow began falling in Stockholm in December the city's "icicle hotline" has received some 1,800 calls from concerned residents and visitors over the large amounts of overhanging ice and snow from buildings.
This is as many calls as would be expected in a whole season.
It is the responsibility of the individual property owners to ensure that the roofs of their buildings do not pose a potentially fatal hazard to pedestrians.
The service was launched following the death of a 14-year-old boy in 2003 on the city's main shopping street Drottninggatan.
Members of the public can call 08-50 380 280 and their information is then passed on to the property owner who is turn responsible to removing the ice and snow.