The incident happened on the A92 north of Inverbervie at 11:00 on Saturday.
The 23-year-old driver died at the scene. The 13-month-old girl suffered minor injuries and was airlifted to Aberdeen Royal Infirmary.
Police Scotland said no other vehicles were involved. The road was closed for several hours but has now re-opened.
A woman has died after a car with a baby on board crashed and overturned in Aberdeenshire.