NEW DELHI, Dec 8 (Reuter) - The Indian government has been asked to tighten security for the Dalai Lama following the arrest of three people suspected of trying to spy on the Tibetan spiritual leader, officials said on Friday.

The northern Indian state of Himachal Pradesh has asked the federal government to build a concrete wall around the Dalai Lama's house in the Himalayan town of Dharamsala and provide a bullet-proof car, they said.

"There is a proposal to upgrade his security," Jampal Chosang, secretary of the All India Office of the Dalai Lama in Delhi, told Reuters.

Federal government officials were unavailable for comment.

The Buddhist spiritual leader has been living in exile in Dharamsala since 1959 along with thousands of his followers after an abortive uprising against the Chinese annexation of Tibet in 1950.

An official spokesman in the Dalai Lama's office in Dharamsala was tight-lipped. "There is a concern, but we are not aware of this," he said.

The request to beef up security followed newspaper reports that local police last month arrested three Tibetans who had allegedly come to India to keep the Dalai Lama under surveillance.

On Friday, Beijing enthroned a new six-year-old Panchen Lama, pressing Tibetans to accept its controversial choice for Tibetan Buddhism's second-ranking monk over one named by the exiled god-king.

In New Delhi about 400 Tibetans demonstrated and those in Dharmsala went on a 24-hour hunger strike to protest against the enthronement, which overrode their leader's recognition of a different boy as Panchen Lama.