Shwe Nya War Sayardaw, a well-known critic of the government, addressed the National League for Democracy at a recent event in Mandalay.
He was among several figures who met US Secretary of State Hillary Clinton when she visited Burma in December.
The Burmese government has recently implemented a series of reforms.
But it still continues to hold hundreds of political prisoners and the country is still plagued by ethnic conflicts.
The actual order to leave came from the monks’ governing body, but this is backed by the Burmese authorities.
‘Refusing to obey’
Shwe Nya War Sayardaw, who is an abbot at Rangoon’s Sadhu monastery, received a letter from the monks’ governing body informing him that he was being disciplined for delivering a speech to pro-democracy leader Aung Sun Suu Kyi’s political party, the National League for Democracy (NLD).
The letter states that he must move away from the Sadhu monastery and that he cannot teach in monasteries without permission from the governing body – the Sangha.
Although he has been ordered to leave the Sadhu monastery, he can live in other monasteries.
However, according to one local journalist, he is refusing to obey the order and says that he will stay at the monastery until forced out.
He is well-known for his outspoken views and for using Buddhist stories to draw unflattering parallels between the government and past administrations, correspondents say.
Meanwhile on Thursday China said its ambassador to Burma held talks with Aung San Suu Kyi in what is thought to be the first formal meeting between the most important supporter of the military-backed government and its most prominent critic.