In a congratulatory letter sent to Trump on Wednesday, he said the Tibetan people and himself were honoured with the support received by respective US Presidents and fellow Americans in the Tibetan people's endeavour to protect and preserve ancient Buddhist culture.
He wished him prayers and good wishes for every success in the many challenges that lay ahead.
In a separate message, Tibetan Prime Minister-in-exile Lobsang Sangay also congratulated Trump on his election victory.
"I am grateful for the people and government of the US for hosting the Tibetan spiritual leader His Holiness the Dalai Lama, at the White House on many occasions," he said.
Sangay added that the Tibetan people are immensely grateful to the US for applauding and supporting amiddle-way' approach and encouraging dialogue between the Dalai Lama and Chinese authorities to lower tensions and resolve our differences.
The Dalai Lama has lived in India since fleeing his homeland in 1959. The Tibetan exile administration is based here.