The plane, a PRM1 corporate jet, crashed around 9:00 am (0800 GMT) in a farm yard near the Annemasse airfield in France's Haute-Savoie region, not far from Geneva, officials said.
A police source said that the pilot, a man aged around 50, was killed and that the injured girl, aged around 15, had indicated to rescuers that she was his daughter. She suffered serious injuries to the pelvis but her life was not in danger, the source said.
Authorities have not yet determined the cause of the accident, although French newspaper "20 minutes" reports that the plane experienced difficulties during take-off.
"It was shocking. I saw the plane veer to the right. It touched a first home before crashing into the garden of a second," a witness told 20 minutes.
The identity of the second person who died were not immediately clear. The Local understands the nationalities of all those involved in the crash were French.
More to follow.