The incident took place at Trishuliya ghat, around 13 km from the temple town of Ambaji, when a group of around 35 people, who were on a pilgrimage tour, were heading towards Anjaar in Kutch district from Ambaji, they said.
The deceased have been identified as Chetan, the bus cleaner, and a pilgrim Dinesh Rawaji, police said.
The injured have been admitted to local civil hospitals of Danta town and Palanpur city, they said.