A 24-year-old woman from Ålesund, Norway, and a 26-year-old Taiwanese woman died in the accident near Sogndal in western Norway.
Nine people were injured, including the two bus drivers, one of whom is Swedish.
The collision happened on national road 55, near Fardal, 150 km from Bergen - a popular tourist area which has seen heavy traffic recently due to the closure of a motorway tunnel.
Göran Mellström of the Bergkvarabuss bus company in Kalmar, Sweden, has said the road is too narrow for tourist coaches, but that view is not shared by Åge Løseth, a policeman in Sogndal who said the road is often used by buses and other heavy vehicles.
On Tuesday, police examined the buses and questioned passengers and the drivers.
It is not yet clear if anyone is suspected of any crime.