The ill-fated bus, carrying 32 passengers, was on its way from Kunihar to Solan when the accident took place near village Jadala, killing Ashwani Gautam (55) on the spot, they said.
The injured were immediately rushed to the Indira Gandhi Medical College (IGMC) hospital in Shimla while the others were admitted to PHC Kunihar.
Further probes are on, they added.