The incident took place under the Mahrajganj police station area this morning when the victims were going for a 'mundan' ceremony, District Magistrate Rakesh Kumar Misra said.
The deceased were identified as Vashu (2) and Vidyawati (3), Misra said.
The driver lost the balance while trying to save a Tata magic coming from the other direction, he said.
All the injured were rushed to a hospital, where six are in a serious condition, a police official said.