"Both of them are out of danger," Superintendent of Anugrah Narayan Magadh Medical College & Hospital (ANMMCH), Gaya, Sita Ram Prasad said.
He said both had been kept in Intensive Care Unit (ICU) of the hospital and senior doctors were attending them.
Prasad said the Tibetan monk Tenzing Dorjee had received bomb injuries in right knee joint and right ankle.
The second monk Vilas Ga from Myanmar suffered wounds in right arm, abdomen and both legs, the ANMMCH Superintendent said.