A hundred-year-old tree which struck and killed a woman in Melbourne's inner-north had been inspected by the local council one month ago.

Key points: The tree fell over a bitumen path in Princes Park

The tree fell over a bitumen path in Princes Park The woman, 36, was from Reservoir in Melbourne's north

The woman, 36, was from Reservoir in Melbourne's north The tree, an English Elm planted in 1913, was not found to pose a risk at its last inspection

Ambulance Victoria said emergency workers were called to Princes Park in Parkville just after 8:30am.

The woman, 36, from Reservoir, was taken to the nearby Royal Melbourne Hospital with critical injuries, but police said she died a short time later.

No-one else was injured during the incident.

The tree fell near busy Royal Parade, which links suburbs such as Carlton and Brunswick to the CBD.

The tree was one of dozens that line the edge of Princes Park. ( ABC News )

The Melbourne City Council said the tree was an English Elm planted in 1913.

It fell over a bitumen footpath between Royal Parade and the park's gravel running track.

The park is popular with joggers, dog walkers and cyclists.

Tree inspected one month ago

Police and firefighters remained at the scene throughout the morning and investigators collected a scarf and other items of clothing and took them away in brown paper bags.

Tree removalists began work late in the morning to clear the tree from footpath and turn it to mulch.

The tree fell towards a sporting oval that is part of the park. ( ABC News: James Hancock )

The council said the row of trees along Royal Parade were being re-inspected for safety and were last inspected on July 12.

"The inspection last month did not highlight any signs the tree posed an increased public safety risk," City of Melbourne chief executive officer Justin Hanney said in a statement.

"If a tree poses an immediate risk it will be removed.

"Our thoughts are with the deceased and their family and friends at this time."

He said the council removed about 800 trees each year across the council area for a range of reasons, including public safety risks.

Second tree death in a week

Strong winds lashed the state over the weekend as a cold front moved across Australia's south-east.

Melbourne mother Angie Suryadi was killed when a tree fell on her family's car on the Black Spur stretch of road on Friday.

Her four-year-old son Oliver remained in a critical but stable condition on Monday morning, while her husband and their other child remained in hospital.

Angie Suryadi, her husband Arnold Aditiasvara and their children were hit by a falling tree on Friday. ( Facebook )

Premier Daniel Andrews paid tribute to the family, saying it was a "terrible incident".

"We send our love and support, our prayers and best wishes to the whole family," he said.

Last month, a 46-year-old man and 10-year-old boy were killed when their car was crushed by a falling tree in the Dandenong Ranges.