According to officials here, the men - residents of the border area in Sunsari district - were shot by the SSB on charges of smuggling chemical fetilizers from India this morning.
However, the injured said they were burning wood in the border village to keep themselves warm, when the firing occurred.
The incident site lies 100 metres into the Nepalese side of the border and the SSB personnel had entered the Nepalese territory chasing some smugglers, they said.
A 30-year-old victim, who received bullet injuries in his right leg, said the SSB shot at them even as they expressed ignorance regarding the whereabouts of people smuggling chemical fertilizers from India.
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All the four injured sustained bullet injuries and are undergoing treatment.
(Reopens FGN19)
Home Ministry spokesperson Laxmi Prasad Dhakal confirmed that the SSB had shot four Nepalese residing in Sunsari district near Nepal-India border.
The condition of two persons, who sustained bullet injuries in their stomach and chest is serious, he said.