The deceased have been identified as 18-year-old Resham Rana of Phoksing-2, 65-year-old Om Prakash Rana of Phoksing-3 and 26-year-old Bhimkali Rana of Phoksing -3.
Two of the injured are in critical condition, doctors said.
The jeep fell on the banks of Kaligandaki River, 400 meters below the road, after its brakes failed while taking a turn at Bangdin locality.