The 83-year-old Dalai Lama, who fled to India in early 1959 after a failed uprising against Chinese rule, lives in exile in the northern Indian hill town of Dharamshala.
"His Holiness is doing fine now," Tseten Samdup Chhoekyapa, the Dalai Lama's press secretary, told Reuters without giving details.
The Dalai Lama was admitted to hospital on Tuesday after complaining of discomfort and was later diagnosed with a chest infection, his personal secretary said, adding he would spend a few days in hospital.
A hospital official declined to comment on his medical condition, citing patient confidentiality.
Many of his supporters posted messages on social media wishing him a speedy recovery.
"Concerned that he has been hospitalized," tweeted Naveen Patnaik, chief minister of India's eastern state of Odisha.
"The world needs him."