It will mark the first time that the Dalai Lama -- whose activities overseas are strongly opposed by China -- will deliver the prayer that customarily opens each Senate session.
The Nobel Peace Prize winner will later meet leaders of both the Senate and House of Representatives, said Kaydor Aukatsang, a spokesman for the Office of Tibet. A Senate aide confirmed the Dalai Lama's meetings.
Last month, the Dalai Lama, who fled his homeland in 1959 for India amid an abortive uprising against Chinese rule, met President Barack Obama, the fourth consecutive sitting US leader whom the Tibetan leader has seen.
The Dalai Lama, who has officially ceded his political role to a prime minister elected by exiled Tibetans, says he accepts China's rule and is peacefully seeking greater autonomy for the Himalayan region. More than 120 Tibetans have set themselves on fire in recent years to protest what they say is religious, political and cultural oppression.