Two people are in a stable condition in hospital after being hit by a falling tree branch in Melbourne's inner southeast, with another two people injured.

The branch came down at the intersection of Union Street and St Kilda Road at St Kilda about 8:40am on Thursday.

The tree stands on private land.

A woman in her 40s was trapped under the branch for a short time before being taken to the Alfred Hospital in a stable condition with non-life threatening back injuries.

A man in his 30s was also taken to Alfred Hospital in a stable condition with a head injury.

A second woman was treated at the scene for minor injuries.

Police and State Emergency Service workers were also called to the scene.

The incident comes after a series of Victoria tree falls, including a woman killed when a large tree branch fell on the car she was travelling in at South Melbourne in December.

In July, a father and son were killed after a large gum tree fell on their car as they were driving in Sherbrooke during strong winds.

A month later, Melbourne mum Angie Suryadi died when a tree fell on her car on the Black Spur highway in Fernshaw as her family embarked on a snow trip.

Her two young sons and husband Arnold Adiatiasvara were also injured.

Respected university professor and mother of two Allison Milner was also killed in August when an elm planted in 1913 fell on her as she walked on a footpath on her way to the University of Melbourne.

Source: 9News