As many as 24 personnel were travelling on the bus which was on its way to Bhagwan Dattatrey temple located on Kala Dungar hillock.
The bus overturned due to a brake failure, police said.
Of the 24 personnel, 20 belonged to the Navy and four to the Indian Air Force.
"Seventeen persons were injured after the bus overturned while going up the hillock towards the temple. The condition of two is critical," said Markand Chauhan, superintendent of police, Kutch (west).