The accident happened at 11:30 BST at a house in Baildon Crescent, on the Bourneville Estate.
A South West Ambulance Service spokesman said the girl was breathing and conscious.
Although the air ambulance was called to the scene, the girl was taken to Bristol Children's Hospital by road, he said.
A two-year-old girl has fallen from a first-floor window in Weston-super-Mare.